## Kusano, Takaŝi

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 Author ID: kusano.takasi Published as: Kusano, Takaŝi; Kusano, Takasi; Kusano, T.; Kusano, Takaši; Kusano, Takâsi more...less External Links: Math-Net.Ru · dblp
 Documents Indexed: 220 Publications since 1962 1 Contribution as Editor Co-Authors: 69 Co-Authors with 199 Joint Publications 2,148 Co-Co-Authors
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### Co-Authors

 21 single-authored 36 Naito, Manabu 27 Jaroš, Jaroslav 23 Onose, Hiroshi 19 Swanson, Charles A. 18 Kitamura, Yuichi 13 Manojlović, Jelena V. 13 Tanigawa, Tomoyuki 13 Yoshida, Norio 6 Elbert, Árpád 6 Ivanov, Anatoli F. 6 Singh, Bhagat 5 Kiguradze, Ivan Tarielovich 5 Kiguradze, Tariel I. 5 Kreith, Kurt 5 Marić, Vojislav 5 Trench, William F. 4 Graef, John R. 4 Kawano, Nichiro 4 Usami, Hiroyuki 3 Fukagai, Nobuyoshi 3 Furusho, Yasuhiro 3 Oharu, Shinnosuke 3 Rozov, Nikolaĭ Khristovich 3 Spikes, Paul W. 2 Agarwal, Ravi P. 2 Chen, Lu-San 2 Fink, Arlington Michael 2 Izobov, Nikolaĭ Alekseevich 2 Kuroda, Tadashi 2 Lalli, Bikkar S. 2 Lomtatidze, Alexander 2 Marušiak, Pavol 2 Ogata, Akio 2 Partsvania, Nino 2 Perestyuk, Mykola Oleksiĭovych 2 Wu, Fentao 1 Akô, Kiyoshi 1 Astashova, Irina Viktorovna 1 Azbelev, Nikolaĭ Viktorovich 1 Chatzarakis, George E. 1 Dahiya, Rajbir S. 1 Domoshnitsky, Alexander I. 1 Došlá, Zuzana 1 Evtukhov, Vyacheslav Mikhaĭlovich 1 Grammatikopoulos, Myron K. 1 Imabayashi, R. 1 Kiyomura, J. 1 Kondrat’ev, Vladimir Aleksandrovich 1 Kono, Mitsuhiko 1 Krasovskii, S. G. 1 Kvinikadze, G. G. 1 Maksimov, Vladimir Petrovich 1 Millionshchikov, Vladimir Mikhaĭlovich 1 Narita, Mamoru 1 Noussair, Ezzat S. 1 Půža, Bedřich 1 Rachůnková, Irena 1 Rontó, Miklós 1 Samoĭlenko, Anatoliĭ Mykhaĭlovych 1 Šeda, Valter 1 Shevelo, Vladimir Nikolajevič 1 Staněk, Svatoslav 1 Stavroulakis, Ioannis P. 1 Švec, Marko 1 Tanaka, Kyoko 1 Tobe, Hiroyuki 1 Tomoyuki, Tanigawa 1 Tvrdý, Milan 1 Yoshida, Kiyoshi
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### Serials

 26 Hiroshima Mathematical Journal 16 Funkcialaj Ekvacioj. Serio Internacia 12 Journal of Mathematical Analysis and Applications 7 Proceedings of the Japan Academy 6 Journal of Differential Equations 6 Proceedings of the American Mathematical Society 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Fukuoka University Science Reports 5 Electronic Journal of Qualitative Theory of Differential Equations 4 Archivum Mathematicum 4 Japanese Journal of Mathematics. New Series 4 Pacific Journal of Mathematics 4 Acta Mathematica Universitatis Comenianae. New Series 4 SIAM Journal on Mathematical Analysis 4 Advances in Mathematical Sciences and Applications 4 Nonlinear Analysis. Theory, Methods & Applications 3 Bulletin of the Australian Mathematical Society 3 Computers & Mathematics with Applications 3 Ukrainian Mathematical Journal 3 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques 3 Canadian Journal of Mathematics 3 Canadian Mathematical Bulletin 3 Czechoslovak Mathematical Journal 3 Differential Equations 3 Journal of the London Mathematical Society. Second Series 3 Journal of the Mathematical Society of Japan 3 Differential and Integral Equations 3 Mathematica Bohemica 3 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 3 Georgian Mathematical Journal 3 Differential Equations 2 Rocky Mountain Journal of Mathematics 2 Ukraïns’kyĭ Matematychnyĭ Zhurnal 2 International Journal of Mathematics and Mathematical Sciences 2 Mathematische Zeitschrift 2 Monatshefte für Mathematik 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Publications de l’Institut Mathématique. Nouvelle Série 2 Acta Mathematica Hungarica 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Memoirs on Differential Equations and Mathematical Physics 2 Journal of Inequalities and Applications 1 Archive for Rational Mechanics and Analysis 1 Lithuanian Mathematical Journal 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Annales Polonici Mathematici 1 Applied Mathematics and Computation 1 Bulletin of the Faculty of Science. Series A. Mathematics 1 Commentarii Mathematici Universitatis Sancti Pauli 1 Indiana University Mathematics Journal 1 Journal of Computational and Applied Mathematics 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Proceedings of the Japan Academy. Series A 1 Quarterly of Applied Mathematics 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Results in Mathematics 1 Studia Scientiarum Mathematicarum Hungarica 1 Utilitas Mathematica 1 Acta Applicandae Mathematicae 1 Journal of Applied Mathematics and Stochastic Analysis 1 Bulletin of the Institute of Mathematics. Academia Sinica 1 Journal of Applied Analysis 1 Taiwanese Journal of Mathematics 1 RIMS Kokyuroku 1 Moscow Mathematical Journal 1 Boundary Value Problems 1 International Journal of Applied Mathematics and Statistics 1 Bollettino della Unione Matematica Italiana. Series IV 1 Journal of Science of the Hiroshima University. Series A-I 1 Japanese Journal of Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Series A 1 Journal of the Faculty of Science. Section I
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### Fields

 155 Ordinary differential equations (34-XX) 60 Partial differential equations (35-XX) 16 Real functions (26-XX) 3 History and biography (01-XX) 3 Potential theory (31-XX) 2 Operator theory (47-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX)

### Citations contained in zbMATH Open

183 Publications have been cited 1,508 times in 932 Documents Cited by Year
Comparison theorems for functional differential equations with deviating arguments. Zbl 0494.34049
Kusano, Takasi; Naito, Manabu
1981
Oscillation and nonoscillation criteria for second order quasilinear differential equations. Zbl 0906.34024
Kusano, T.; Naito, Y.
1997
A Picone-type identity and Sturmian comparison and oscillation theorems for a class of half-linear partial differential equations of second order. Zbl 0954.35018
Kusano, Takaŝi; Jaroš, Jaroslav; Yoshida, Norio
2000
Oscillation theory of first order functional differential equations with deviating arguments. Zbl 0552.34062
1984
On even-order functional differential equations with advanced and retarded arguments. Zbl 0512.34059
Kusano, Takasi
1982
Entire positive solutions of singular semilinear elliptic equations. Zbl 0585.35034
Kusano, Takaŝi; Swanson, Charles A.
1985
Oscillations of functional differential equations with retarded argument. Zbl 0292.34078
Kusano, T.; Onose, H.
1974
A Picone type identity for second-order half-linear differential equations. Zbl 0926.34023
Jaroš, J.; Kusano, T.
1999
Oscillation of first-order nonlinear differential equations with deviating arguments. Zbl 0433.34051
Kitamura, Yuichi; Kusano, Takasi
1980
Nonlinear oscillation of fourth order differential equations. Zbl 0432.34022
Kusano, Takasi; Naito, Manabu
1976
Oscillation and non-oscillation theorems for a class of second order quasilinear differential equations. Zbl 0732.34035
Elbert, Á.; Kusano, T.
1990
Bounded entire solutions of second order semilinear elliptic equations with application to a parabolic initial value problem. Zbl 0567.35046
Kusano, Takaŝi; Oharu, Shinnosuke
1985
Self-adjoint differential equations and generalized Karamata functions. Zbl 1091.34521
Jaroš, J.; Kusano, T.
2004
On positive entire solutions of a class of second order semilinear elliptic systems. Zbl 0523.34012
Kawano, Nichiro; Kusano, Takaŝi
1984
Existence of global solutions with prescribed asymptotic behavior for nonlinear ordinary differential equations. Zbl 0593.34039
Kusano, Takaŝi; Trench, William F.
1985
Principal solutions of non-oscillatory half-linear differential equations. Zbl 0914.34031
Elbert, Árpád; Kusano, Takaŝi
1998
On fourth-order non-linear oscillations. Zbl 0385.34014
Kusano, Takasi; Naito, Manabu
1976
Asymptotic behavior of positive solutions of sublinear differential equations of Emden-Fowler type. Zbl 1228.34072
Kusano, Takaši; Manojlović, Jelena
2011
Oscillatory and asymptotic behaviour of solutions of a class of linear ordinary differential equations. Zbl 0486.34021
Kusano, Takasi; Naito, Manabu; Tanaka, Kyoko
1981
Positive solutions of a class of second order semilinear elliptic equations in the plane. Zbl 0522.35040
Kusano, Takaŝi; Usami, Hiroyuki
1984
Global existence theorems for solutions of nonlinear differential equations with prescribed asymptotic behaviour. Zbl 0578.34045
Kusano, Takaŝi; Trench, William F.
1985
An asymptotic analysis of positive solutions of generalized Thomas-Fermi differential equations - the sub-half-linear case. Zbl 1248.34075
Kusano, T.; Marić, V.; Tanigawa, T.
2012
Radial entire solutions of even order semilinear elliptic equations. Zbl 0666.35029
Kusano, Takaŝi; Naito, Manabu; Swanson, Charles A.
1988
Nonlinear oscillation of higher-order functional differential equations with deviating arguments. Zbl 0465.34044
Kitamura, Yuichi; Kusano, Takasi
1980
Nonlinear oscillation of second order differential equations with retarded argument. Zbl 0316.34083
Kusano, Takasi; Naito, Manabu
1975
Nonlinear oscillation of a sublinear delay equation of arbitrary order. Zbl 0268.34075
Kusano, Takasi; Onose, Hiroshi
1973
Oscillation of solutions of nonlinear differential delay equations of arbitrary order. Zbl 0269.34064
Kusano, Takasi; Onose, Hiroshi
1972
Oscillation criteria for general linear ordinary differential equations. Zbl 0475.34019
Kusano, Takasi; Naito, Manabu
1981
Periodic solutions of nonautonomous ordinary differential equations of higher order. Zbl 0936.34033
1999
Oscillation theory of entire solutions of second order superlinear elliptic equations. Zbl 0656.35040
Kusano, Takaŝi; Naito, Manabu
1987
Oscillation theory of higher order linear functional differential equations of neutral type. Zbl 0693.34038
Jaroš, Jaroslav; Kusano, Takaŝi
1988
Radial entire solutions of a class of quasilinear elliptic equations. Zbl 0703.35060
Kusano, Takaŝi; Swanson, Charles A.
1990
Well-posedness of initial-boundary value problems for higher-order linear hyperbolic equations with two independent variables. Zbl 1065.35173
2003
Asymptotic properties of semilinear elliptic equations. Zbl 0536.35024
Kusano, Takaŝi; Swanson, Charles A.
1983
Asymptotic behavior of nonoscillatory solutions of nonlinear functional differential equations of neutral type. Zbl 0705.34078
Jaroš, Jaroslav; Kusano, Takaŝi
1989
Positive entire solutions of superlinear elliptic equations. Zbl 0611.35021
Kusano, Takaŝi; Naito, Manabu
1986
Nonoscillation theorems for differential equations with deviating argument. Zbl 0342.34058
Kusano, Takasi; Onose, Hiroshi
1976
On the oscillation of a class of nonlinear differential systems with deviating argument. Zbl 0417.34107
Kitamura, Yuichi; Kusano, Takasi
1978
Oscillation of even order linear functional differential equations with deviating arguments of mixed type. Zbl 0546.34056
Kusano, Takaŝi
1984
Oscillation properties of first order nonlinear functional differential equations of neutral type. Zbl 0729.34054
Jaroš, Jaroslav; Kusano, Takaŝi
1991
On a class of first order nonlinear functional differential equations of neutral type. Zbl 0728.34083
Jaroš, Jaroslav; Kusano, Takaŝi
1990
Increasing solutions of Thomas-Fermi type differential equations – the sublinear case. Zbl 1299.34044
Kusano, T.; Manojlović, J. V.; Marić, V.
2011
On second-order half-linear oscillations. Zbl 0898.34036
Hoshino, H.; Imabayashi, R.; Kusano, T.; Tanigawa, T.
1998
Forced superlinear oscillations via Picone’s identity. Zbl 0959.34024
Jaroš, J.; Kusano, T.; Yoshida, N.
2000
Oscillation properties of nonlinear hyperbolic equations. Zbl 0545.35062
Kreith, Kurt; Kusano, Takaŝi; Yoshida, Norio
1984
On periodic solutions of even-order ordinary differential equations. Zbl 1043.34043
2001
Oscillation conditions for difference equations with several variable arguments. Zbl 1363.39014
Chatzarakis, George E.; Kusano, Takaŝi; Stavroulakis, Ioannis P.
2015
Regularly varying solutions of generalized Thomas-Fermi equations. Zbl 1265.34034
Kusano, T.; Marić, V.; Tanigawa, T.
2009
Unbounded nonoscillatory solutions of nonlinear ordinary differential equations of arbitrary order. Zbl 0654.34030
Kusano, Takaŝi; Naito, Manabu
1988
Sufficient conditions for oscillations in higher order linear functional differential equations of neutral type. Zbl 0714.34104
Jaroš, Jaroslav; Kusano, Takaŝi
1989
On bounded solutions of second order elliptic differential equations. Zbl 0143.14005
Akô, Kiyoshi; Kusano, Takaŝi
1964
Ill-posed initial-boundary value problems for higher-order linear hyperbolic equations with two independent variables. Zbl 1072.35589
2003
Generalized Picone’s formula and forced oscillations in quasilinear differential equations of the second order. Zbl 1087.34014
Jaroš, J.; Kusano, T.; Yoshida, N.
2002
Nonlinear oscillation of a fourth order elliptic equation. Zbl 0422.35004
Kitamura, Yuichi; Kusano, Takasi
1978
Asymptotic behaviour of nonoscillatory solutions of functional differential equations of arbitrary order. Zbl 0378.34056
Kusano, Takasi; Onose, Hiroshi
1976
Asymptotic properties of solutions of two-dimensional differential systems with deviating argument. Zbl 0385.34043
Kitamura, Yuichi; Kusano, Takasi
1978
Oscillation and a class of nonlinear differential systems with general deviating arguments. Zbl 0386.34065
Kitamura, Yuichi; Kusano, Takasi
1978
Positive solutions of functional differential equations with singular nonlinear terms. Zbl 0558.34057
Kusano, Takaŝi; Singh, Bhagat
1984
On the elliptic equation $$\Delta u=\phi (x)u^{\gamma}$$ in $${\mathbb{R}}^ 2$$. Zbl 0569.35031
Kawano, Nichiro; Kusano, Takaŝi; Naito, Manabu
1985
Sturm-Liouville eigenvalue problems for half-linear ordinary differential equations. Zbl 1006.34025
Kusano, Takaŝi; Naito, Manabu
2001
On the oscillation of solutions of second order quasilinear ordinary differential equations. Zbl 0797.34030
Kusano, Takaŝi; Ogata, Akio; Usami, Hiroyuki
1993
Asymptotic behavior of positive solutions of odd order Emden-Fowler type differential equations in the framework of regular variation. Zbl 1340.34134
Kusano, Takasi; Manojlović, Jelena
2012
On entire solutions of second order semilinear elliptic equations. Zbl 0596.35040
Kusano, Takaŝi; Oharu, Shinnosuke
1986
Oscillation theorems for delay equations of arbitrary order. Zbl 0269.34065
Kusano, Takasi; Onose, Hiroshi
1972
Positive solutions of fourth order Thomas-Fermi type differential equations in the framework of regular variation. Zbl 1263.34042
Kusano, Takaŝi; Manojlović, Jelena
2012
Oscillation and asymptotic behavior of solutions of first-order functional differential equations of neutral type. Zbl 0722.34064
Kitamura, Yuichi; Kusano, Takaŝi
1990
Conditions for the existence and uniqueness of periodic solutions to nonautonomous differential equations. Zbl 0997.34030
2000
Existence and asymptotic behavior of positive solutions of second order quasilinear differential equations. Zbl 0855.34040
Kusano, Takaŝi; Ogata, Akio
1994
Remarks on the existence of regularly varying solutions for second order linear differential equations. Zbl 1052.34042
Jaroš, Jaroslav; Kusano, Takaŝi
2002
Positive entire solutions of semilinear biharmonic equations. Zbl 0649.35032
Kusano, Takaŝi; Swanson, Charles A.
1987
Existence of regularly varying solutions with nonzero indices of half-linear differential equations with retarded arguments. Zbl 1189.34121
Kusano, Takaŝi; Manojlović, Jelena; Tanigawa, Tomoyuki
2010
On bounded solutions of exterior boundary value problems for linear and quasilinear elliptic differential equations. Zbl 0144.35802
Kusano, T.
1965
Periodic solutions of the first boundary problem for quasilinear parabolic equations of second order. Zbl 0154.36101
Kusano, T.
1966
Asymptotic behavior of oscillatory solutions of a differential equation with deviating arguments. Zbl 0472.34044
Singh, Bhagat; Kusano, Takasi
1981
Positive solutions of fourth order Emden-Fowler type differential equations in the framework of regular variation. Zbl 1254.34050
Kusano, Takaši; Manojlović, Jelena V.
2012
Oscillatory and asymptotic behavior of sublinear retarded differential equations. Zbl 0346.34052
Kusano, Takasi; Onose, Hiroshi
1974
On strong oscillation of even order differential equations with advanced arguments. Zbl 0498.34051
Kusano, Takasi
1981
Comparison theorems for perturbed half-linear Euler differential equations. Zbl 1152.34024
Kusano, T.; Manojlović, J.; Tanigawa, T.
2007
Radial entire solutions to even order semilinear elliptic equations in the plane. Zbl 0647.35030
Kusano, Takaŝi; Naito, Manabu; Swanson, Charles A.
1987
On strongly monotone solutions of a class of cyclic systems of nonlinear differential equations. Zbl 1309.34050
Jaroš, Jaroslav; Kusano, Takaŝi
2014
Entire solutions of a class of even order quasilinear elliptic equations. Zbl 0674.35025
Kusano, Takaŝi; Naito, Manabu; Swanson, Charles A.
1987
Asymptotic behavior of solutions of a class of second order nonlinear differential equations. Zbl 0612.34052
Kusano, Takaŝi; Naito, Manabu; Usami, Hiroyuki
1986
Bounded and periodic in a strip solutions of nonlinear hyperbolic systems with two independent variables. Zbl 1071.35090
2005
On the oscillation of second order nonlinear ordinary differential equations. Zbl 0326.34044
Kusano, Takasi; Onose, Hiroshi; Tobe, Hiroyuki
1974
Asymptotic decay of oscillatory solutions of second order differential equations with forcing term. Zbl 0367.34021
Kusano, Takasi; Onose, Hiroshi
1977
Decaying entire positive solutions of quasilinear elliptic equations. Zbl 0586.35043
Kusano, Takaŝi; Swanson, Charles A.
1986
Existence of positive entire solutions for higher order quasilinear elliptic equations. Zbl 0820.35051
Furusho, Yasuhiro; Kusano, Takaŝi
1994
An oscillatory half-linear differential equation. Zbl 0914.34026
Elbert, Árpád; Kusano, Takaŝi; Tomoyuki, Tanigawa
1997
Existence theorems for a neutral functional differential equation whose leading part contains a difference operator of higher degree. Zbl 0828.34054
Kitamura, Yuichi; Kusano, Takaŝi
1995
On the nonoscillation of perturbed functional differential equations. Zbl 0425.34073
Graef, John R.; Kitamura, Yuichi; Kusano, Takasi; Onose, Hiroshi; Spikes, Paul W.
1979
On asymptotic limits of nonoscillations in functional equations with retarded arguments. Zbl 0447.34067
Singh, Bhagat; Kusano, Takasi
1980
Oscillatory solutions of functional differential equations generated by deviation of arguments of mixed type. Zbl 0511.34052
Ivanov, A. F.; Kitamura, Y.; Kusano, T.; Shevelo, V. N.
1982
Some parabolic equations with unbounded coefficients. Zbl 0302.35049
Chen, Lu-San; Kuroda, Tadashi; Kusano, Takasi
1973
Oscillation theorems for second order differential equations with retarded argument. Zbl 0329.34055
Kusano, Takasi; Onose, Hiroshi
1974
Nonoscillatory solutions of differential equations with retarded arguments. Zbl 0329.34056
Kusano, Takasi; Onose, Hiroshi
1975
A nonoscillation theorem for a second order sublinear retarded differential equation. Zbl 0343.34057
Kusano, Takasi; Onose, Hiroshi
1976
Nonlinear oscillation of second order functional differential equations with advanced argument. Zbl 0353.34081
Kusano, T.; Onose, H.
1977
Nonlinear oscillation of fourth order differential equations with deviating argument. Zbl 0417.34105
Kusano, Takasi; Naito, Manabu
1978
Sharp oscillation criteria for a class of fourth order nonlinear differential equations. Zbl 1232.34053
Kusano, T.; Manojlović, J.; Tanigawa, T.
2011
Boundedness of solutions of a class of higher order ordinary differential equations. Zbl 0532.34027
Kusano, Takaŝi; Naito, Manabu
1982
Nonoscillatory solutions of planar half-linear differential systems: a Riccati equation approach. Zbl 1413.34139
Jaroš, Jaroslav; Kusano, Takaŝi; Tanigawa, Tomoyuki
2018
Precise asymptotic behavior of regularly varying solutions of second order half-linear differential equations. Zbl 1389.34164
Kusano, Takasi; Manojlović, Jelena
2016
Elbert-type comparison theorems for a class of nonlinear Hamiltonian systems. Zbl 1399.34102
Jaroš, Jaroslav; Kusano, Takasi
2016
On Avakumović’s theorem for generalized Thomas-Fermi differential equations. Zbl 1474.34354
Jaroš, Jaroslav; Kusano, Takaŝi
2016
Oscillation conditions for difference equations with several variable arguments. Zbl 1363.39014
Chatzarakis, George E.; Kusano, Takaŝi; Stavroulakis, Ioannis P.
2015
On strongly monotone solutions of a class of cyclic systems of nonlinear differential equations. Zbl 1309.34050
Jaroš, Jaroslav; Kusano, Takaŝi
2014
Decreasing regularly varying solutions of sublinearly perturbed superlinear Thomas-Fermi equation. Zbl 1314.34072
Jaroš, Jaroslav; Kusano, Takaŝi
2014
Asymptotic analysis of positive solutions of third order nonlinear differential equations. Zbl 1300.34124
Jaroš, Jaroslav; Kusano, Takaŝi; Tanigawa, Tomoyuki
2014
Existence and precise asymptotics of positive solutions for a class of nonlinear differential equations of the third order. Zbl 1279.34049
Jaroš, Jaroslav; Kusano, Takaŝi; Tanigawa, Tomoyuki
2013
Complete asymptotic analysis of positive solutions of odd-order nonlinear differential equation. Zbl 1280.34040
Kusano, Takaŝi; Manojlović, Jelena V.
2013
Existence and asymptotic behavior of positive solutions of fourth order quasilinear differential equations. Zbl 1293.34063
Kusano, Takasi; Manojlovic, Jelena; Tanigawa, Tomoyuki
2013
Precise asymptotic behavior of intermediate solutions of even order nonlinear differential equation in the framework of regular variation. Zbl 1321.34073
Kusano, Takaŝi; Manojlović, Jelena
2013
An asymptotic analysis of positive solutions of generalized Thomas-Fermi differential equations - the sub-half-linear case. Zbl 1248.34075
Kusano, T.; Marić, V.; Tanigawa, T.
2012
Asymptotic behavior of positive solutions of odd order Emden-Fowler type differential equations in the framework of regular variation. Zbl 1340.34134
Kusano, Takasi; Manojlović, Jelena
2012
Positive solutions of fourth order Thomas-Fermi type differential equations in the framework of regular variation. Zbl 1263.34042
Kusano, Takaŝi; Manojlović, Jelena
2012
Positive solutions of fourth order Emden-Fowler type differential equations in the framework of regular variation. Zbl 1254.34050
Kusano, Takaši; Manojlović, Jelena V.
2012
Asymptotic behavior of positive solutions of sublinear differential equations of Emden-Fowler type. Zbl 1228.34072
Kusano, Takaši; Manojlović, Jelena
2011
Increasing solutions of Thomas-Fermi type differential equations – the sublinear case. Zbl 1299.34044
Kusano, T.; Manojlović, J. V.; Marić, V.
2011
Sharp oscillation criteria for a class of fourth order nonlinear differential equations. Zbl 1232.34053
Kusano, T.; Manojlović, J.; Tanigawa, T.
2011
Existence of regularly varying solutions with nonzero indices of half-linear differential equations with retarded arguments. Zbl 1189.34121
Kusano, Takaŝi; Manojlović, Jelena; Tanigawa, Tomoyuki
2010
Regularly varying solutions of generalized Thomas-Fermi equations. Zbl 1265.34034
Kusano, T.; Marić, V.; Tanigawa, T.
2009
Comparison theorems for perturbed half-linear Euler differential equations. Zbl 1152.34024
Kusano, T.; Manojlović, J.; Tanigawa, T.
2007
Slowly varying solutions of functional differential equations with retarded and advanced arguments. Zbl 1152.34043
Kusano, Takaŝi; Marić, Vojislav
2007
Bounded and periodic in a strip solutions of nonlinear hyperbolic systems with two independent variables. Zbl 1071.35090
2005
Self-adjoint differential equations and generalized Karamata functions. Zbl 1091.34521
Jaroš, J.; Kusano, T.
2004
Well-posedness of initial-boundary value problems for higher-order linear hyperbolic equations with two independent variables. Zbl 1065.35173
2003
Ill-posed initial-boundary value problems for higher-order linear hyperbolic equations with two independent variables. Zbl 1072.35589
2003
Generalized Picone’s formula and forced oscillations in quasilinear differential equations of the second order. Zbl 1087.34014
Jaroš, J.; Kusano, T.; Yoshida, N.
2002
Remarks on the existence of regularly varying solutions for second order linear differential equations. Zbl 1052.34042
Jaroš, Jaroslav; Kusano, Takaŝi
2002
Oscillation criteria for a class of partial functional-differential equations of higher order. Zbl 1027.35142
Kiguradze, Tariel; Kusano, Takaŝi; Yoshida, Norio
2002
On periodic solutions of even-order ordinary differential equations. Zbl 1043.34043
2001
Sturm-Liouville eigenvalue problems for half-linear ordinary differential equations. Zbl 1006.34025
Kusano, Takaŝi; Naito, Manabu
2001
On the oscillation of solutions of 4-dimensional Emden-Fowler differential systems. Zbl 1008.34028
Kusano, Takaŝi; Naito, Manabu; Wu, Fentao
2001
A Picone-type identity and Sturmian comparison and oscillation theorems for a class of half-linear partial differential equations of second order. Zbl 0954.35018
Kusano, Takaŝi; Jaroš, Jaroslav; Yoshida, Norio
2000
Forced superlinear oscillations via Picone’s identity. Zbl 0959.34024
Jaroš, J.; Kusano, T.; Yoshida, N.
2000
Conditions for the existence and uniqueness of periodic solutions to nonautonomous differential equations. Zbl 0997.34030
2000
Asymptotic properties of solutions of second-order quasilinear functional-differential equations of neutral type. Zbl 0973.34067
Kusano, Takaŝi; Marušiak, Pavol
2000
Positive decreasing solutions of systems of second order singular differential equations. Zbl 0972.34003
Kusano, Takaŝi; Tanigawa, Tomoyuki
2000
A Picone type identity for second-order half-linear differential equations. Zbl 0926.34023
Jaroš, J.; Kusano, T.
1999
Periodic solutions of nonautonomous ordinary differential equations of higher order. Zbl 0936.34033
1999
Oscillation criteria for a class of functional parabolic equations. Zbl 0930.35181
Kusano, T.; Yoshida, N.
1999
Positive solutions to second-order quasilinear ordinary differential equations with general nonlinearities. Zbl 0980.34028
Kiyomura, J.; Kusano, T.; Naito, M.
1999
Oscillation and nonoscillation theorems for second order quasilinear functional differential equations of neutral type. Zbl 0928.34058
Jaroš, Jaroslav; Kusano, Takasi; Marušiak, Pavol
1999
Principal solutions of non-oscillatory half-linear differential equations. Zbl 0914.34031
Elbert, Árpád; Kusano, Takaŝi
1998
On second-order half-linear oscillations. Zbl 0898.34036
Hoshino, H.; Imabayashi, R.; Kusano, T.; Tanigawa, T.
1998
Singular eigenvalue problems for second-order linear ordinary differential equations. Zbl 0914.34021
Elbert, Árpád; Kusano, Takaŝi; Naito, Manabu
1998
A singular eigenvalue problem for the Sturm-Liouville equation. Zbl 0951.34015
Kusano, T.; Naito, M.
1998
Oscillation and nonoscillation criteria for second order quasilinear differential equations. Zbl 0906.34024
Kusano, T.; Naito, Y.
1997
An oscillatory half-linear differential equation. Zbl 0914.34026
Elbert, Árpád; Kusano, Takaŝi; Tomoyuki, Tanigawa
1997
Existence theorems for a neutral functional differential equation whose leading part contains a difference operator of higher degree. Zbl 0828.34054
Kitamura, Yuichi; Kusano, Takaŝi
1995
Symmetric positive entire solutions to nonlinear biharmonic equations. Zbl 0962.35501
Kusano, Takaŝi; Furusho, Yasuhiro
1995
Existence theorems for nonlinear functional differential equations of neutral type. Zbl 0828.34058
Kitamura, Yuichi; Kusano, Takaši; Lalli, B. S.
1995
Existence of oscillatory and nonoscillatory solutions for a class of neutral functional differential equations. Zbl 0838.34079
Kitamura, Y.; Kusano, T.; Lalli, B. S.
1995
Existence and asymptotic behavior of positive solutions of second order quasilinear differential equations. Zbl 0855.34040
Kusano, Takaŝi; Ogata, Akio
1994
Existence of positive entire solutions for higher order quasilinear elliptic equations. Zbl 0820.35051
Furusho, Yasuhiro; Kusano, Takaŝi
1994
On the oscillation of solutions of second order quasilinear ordinary differential equations. Zbl 0797.34030
Kusano, Takaŝi; Ogata, Akio; Usami, Hiroyuki
1993
A general method for quasilinear elliptic problems in $$R^ N$$. Zbl 0756.35025
Kusano, Takaŝi; Swanson, Charles A.
1992
Semilinear evolution equations with singularities in ordered Banach spaces. Zbl 0801.35084
Kusano, Takaŝi; Oharu, Shinnosuke
1992
Oscillation properties of first order nonlinear functional differential equations of neutral type. Zbl 0729.34054
Jaroš, Jaroslav; Kusano, Takaŝi
1991
Existence of oscillatory solutions for functional differential equations of neutral type. Zbl 0745.34067
Jaroš, J.; Kusano, T.
1991
Entire solutions of real and complex Monge-Ampère equations. Zbl 0838.35038
Kusano, Takaŝi; Swanson, Charles A.
1991
Oscillation and non-oscillation theorems for a class of second order quasilinear differential equations. Zbl 0732.34035
Elbert, Á.; Kusano, T.
1990
Radial entire solutions of a class of quasilinear elliptic equations. Zbl 0703.35060
Kusano, Takaŝi; Swanson, Charles A.
1990
On a class of first order nonlinear functional differential equations of neutral type. Zbl 0728.34083
Jaroš, Jaroslav; Kusano, Takaŝi
1990
Oscillation and asymptotic behavior of solutions of first-order functional differential equations of neutral type. Zbl 0722.34064
Kitamura, Yuichi; Kusano, Takaŝi
1990
Existence theorems for elliptic Monge-Ampère equations in the plane. Zbl 0723.35030
Kusano, Takaŝi; Swanson, Charles A.
1990
On oscillation of linear neutral differential equations of higher order. Zbl 0725.34089
Jaroš, Jaroslav; Kusano, Takaŝi
1990
Nonoscillation theorems for a class of neutral functional differential equations of arbitrary order. Zbl 0718.34100
Jaroš, J.; Kusano, T.
1990
Existence theorems for Monge-Ampère equations in $$\mathbb{R}{}^ N$$. Zbl 0736.35047
Kusano, Takaŝi; Swanson, Charles A.
1990
Asymptotic behavior of nonoscillatory solutions of nonlinear functional differential equations of neutral type. Zbl 0705.34078
Jaroš, Jaroslav; Kusano, Takaŝi
1989
Sufficient conditions for oscillations in higher order linear functional differential equations of neutral type. Zbl 0714.34104
Jaroš, Jaroslav; Kusano, Takaŝi
1989
On unbounded positive solutions of nonlinear differential equations with oscillating coefficients. Zbl 0685.34011
Kusano, Takasi; Švec, Marko
1989
Oscillation properties of solutions of a class of first order functional- differential equations of neutral type. Zbl 0694.34056
Ivanov, A. F.; Kusano, T.
1989
Radial entire solutions of even order semilinear elliptic equations. Zbl 0666.35029
Kusano, Takaŝi; Naito, Manabu; Swanson, Charles A.
1988
Oscillation theory of higher order linear functional differential equations of neutral type. Zbl 0693.34038
Jaroš, Jaroslav; Kusano, Takaŝi
1988
Unbounded nonoscillatory solutions of nonlinear ordinary differential equations of arbitrary order. Zbl 0654.34030
Kusano, Takaŝi; Naito, Manabu
1988
Positive solutions of a class of nonlinear ordinary differential equations. Zbl 0654.34028
Kusano, Takaŝi; Naito, Manabu
1988
On the existence of positive decaying entire solutions for a class of sublinear elliptic equations. Zbl 0652.35035
Furusho, Yasuhiro; Kusano, Takasi
1988
Asymptotic properties of entire solutions of even order quasilinear elliptic equations. Zbl 0681.35033
Kusano, Takaŝi; Naito, Manabu; Swanson, Charles A.
1988
Systems of functional differential equations with asymptotically constant solutions. Zbl 0692.34071
Trench, William F.; Kusano, Takaŝi
1988
On the asymptotic behavior of solutions of nonlinear ordinary differential equations. Zbl 0698.34049
Kusano, Takaŝi; Naito, Manabu; Swanson, Charles A.
1988
Oscillation theory of entire solutions of second order superlinear elliptic equations. Zbl 0656.35040
Kusano, Takaŝi; Naito, Manabu
1987
Positive entire solutions of semilinear biharmonic equations. Zbl 0649.35032
Kusano, Takaŝi; Swanson, Charles A.
1987
Radial entire solutions to even order semilinear elliptic equations in the plane. Zbl 0647.35030
Kusano, Takaŝi; Naito, Manabu; Swanson, Charles A.
1987
Entire solutions of a class of even order quasilinear elliptic equations. Zbl 0674.35025
Kusano, Takaŝi; Naito, Manabu; Swanson, Charles A.
1987
Global existence of nonoscillatory solutions of perturbed general disconjugate equations. Zbl 0638.34028
Kusano, Takaŝi; Trench, William F.
1987
On the oscillation of solutions of a class of differential-functional equations. Zbl 0653.34046
Ivanov, A. F.; Kusano, T.
1987
Some remarks on the supersolution-subsolution method for superlinear elliptic equations. Zbl 0632.35022
Fukagai, Nobuyoshi; Kusano, Takaŝi; Yoshida, Kiyoshi
1987
Positive entire solutions of superlinear elliptic equations. Zbl 0611.35021
Kusano, Takaŝi; Naito, Manabu
1986
On entire solutions of second order semilinear elliptic equations. Zbl 0596.35040
Kusano, Takaŝi; Oharu, Shinnosuke
1986
Asymptotic behavior of solutions of a class of second order nonlinear differential equations. Zbl 0612.34052
Kusano, Takaŝi; Naito, Manabu; Usami, Hiroyuki
1986
Decaying entire positive solutions of quasilinear elliptic equations. Zbl 0586.35043
Kusano, Takaŝi; Swanson, Charles A.
1986
Unbounded positive entire solutions of semilinear elliptic equations. Zbl 0631.35027
Kusano, Takaŝi; Swanson, Charles A.
1986
Global existence of solutions of mixed sublinear-superlinear differential equations. Zbl 0622.34031
Kusano, Takaŝi; Trench, Willian F.
1986
Entire positive solutions of singular semilinear elliptic equations. Zbl 0585.35034
Kusano, Takaŝi; Swanson, Charles A.
1985
Bounded entire solutions of second order semilinear elliptic equations with application to a parabolic initial value problem. Zbl 0567.35046
Kusano, Takaŝi; Oharu, Shinnosuke
1985
Existence of global solutions with prescribed asymptotic behavior for nonlinear ordinary differential equations. Zbl 0593.34039
Kusano, Takaŝi; Trench, William F.
1985
Global existence theorems for solutions of nonlinear differential equations with prescribed asymptotic behaviour. Zbl 0578.34045
Kusano, Takaŝi; Trench, William F.
1985
On the elliptic equation $$\Delta u=\phi (x)u^{\gamma}$$ in $${\mathbb{R}}^ 2$$. Zbl 0569.35031
Kawano, Nichiro; Kusano, Takaŝi; Naito, Manabu
1985
Pairs of positive solutions of quasilinear elliptic equations in exterior domains. Zbl 0584.35028
Kusano, Takaŝi; Swanson, Charles A.; Usami, Hiroyuki
1985
...and 83 more Documents
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### Cited by 652 Authors

 63 Kusano, Takaŝi 48 Džurina, Jozef 39 Grace, Said Rezk 29 Chatzarakis, George E. 26 Baculíková, Blanka 26 Naito, Manabu 22 Agarwal, Ravi P. 22 Stavroulakis, Ioannis P. 20 Manojlović, Jelena V. 20 Swanson, Charles A. 20 Takaŝi, Kusano 18 Došlá, Zuzana 17 Graef, John R. 17 Jaroš, Jaroslav 17 Marini, Mauro 17 Yoshida, Norio 16 Řehák, Pavel 15 Došlý, Ondřej 15 Jadlovská, Irena 14 Cecchi, Mariella 14 Lalli, Bikkar S. 14 Li, Tongxing 13 Yang, Zuodong 12 Kitamura, Yuichi 12 Tanaka, Satoshi 11 Spikes, Paul W. 10 Meng, Fanwei 10 Onose, Hiroshi 10 Tanigawa, Tomoyuki 9 Thandapani, Ethiraju 9 Tiryaki, Aydin 9 Zafer, Ağacık 8 Li, Wan-Tong 8 Mařík, Robert 8 Moaaz, Osama 8 Noussair, Ezzat S. 8 Ocalan, Ozkan 8 Philos, Christos G. 8 Sim, Inbo 8 Usami, Hiroyuki 7 Dahiya, Rajbir S. 7 Furusho, Yasuhiro 7 Grammatikopoulos, Myron K. 7 Kiguradze, Ivan Tarielovich 7 Marušiak, Pavol 7 Matucci, Serena 7 O’Regan, Donal 7 Sficas, Yiannis G. 7 Singh, Bhagat 7 Xu, Zhiting 6 Assanova, Anar Turmaganbetkyzy 6 Bohner, Martin J. 6 Kiguradze, Tariel I. 6 Mustafa, Octavian G. 6 Özbekler, Abdullah 6 Parhi, Narahari 6 Tripathy, Arun Kumar 5 Astashova, Irina Viktorovna 5 Bartušek, Miroslav 5 Chen, Lu-San 5 Fišnarová, Simona 5 Gopalsamy, Kondalsamy 5 Hasil, Petr 5 Kreith, Kurt 5 Staikos, Vasilios A. 5 Trench, William F. 5 Vesely, Michal 5 Wang, Peiguang 5 Yamaoka, Naoto 4 Candan, Tuncay 4 Deng, Jiqin 4 Domoshnitsky, Alexander I. 4 Fukagai, Nobuyoshi 4 Han, Zhenlai 4 Ivanov, Anatoli F. 4 Kajikiya, Ryuji 4 Kartsatos, Athanassios G. 4 Kim, Chan-Gyun 4 Lomtatidze, Alexander 4 Marić, Vojislav 4 Miao, Qing 4 Mukhigulashvili, S. V. 4 Pinelas, Sandra 4 Rogovchenko, Yuri V. 4 Špániková, Eva 4 Sugie, Jitsuro 4 Tatar, Nasser-eddine 4 Werbowski, Jaroslaw 4 Yeh, Cheh-Chih 4 Yotsutani, Shoji 4 Zhang, Binggen 4 Zheng, Zhaowen 3 Allegretto, Walter 3 Appleby, John A. D. 3 Benrhouma, Mohamed 3 Berezansky, Leonid M. 3 Braverman, Elena 3 Bugir, M. K. 3 Cheng, Sui Sun 3 Chudinov, Kirill M. ...and 552 more Authors
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### Cited in 153 Serials

 128 Journal of Mathematical Analysis and Applications 65 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 50 Applied Mathematics and Computation 40 Applied Mathematics Letters 38 Czechoslovak Mathematical Journal 36 Journal of Differential Equations 33 Nonlinear Analysis. Theory, Methods & Applications 30 Annali di Matematica Pura ed Applicata. Serie Quarta 28 Computers & Mathematics with Applications 28 Mathematica Slovaca 24 Advances in Difference Equations 20 Abstract and Applied Analysis 13 Journal of Computational and Applied Mathematics 12 Rocky Mountain Journal of Mathematics 12 Ukrainian Mathematical Journal 12 Mathematische Nachrichten 12 Proceedings of the American Mathematical Society 12 Boundary Value Problems 11 Georgian Mathematical Journal 10 Acta Mathematica Hungarica 10 Mathematical and Computer Modelling 10 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 8 Applicable Analysis 8 Archive for Rational Mechanics and Analysis 8 Opuscula Mathematica 8 Journal of Inequalities and Applications 7 Journal of Mathematical Sciences (New York) 7 Differential Equations 7 Proceedings of the Japan Academy 6 Transactions of the American Mathematical Society 6 Russian Mathematics 6 Discrete and Continuous Dynamical Systems 6 Central European Journal of Mathematics 5 Bulletin of the Australian Mathematical Society 5 Monatshefte für Mathematik 5 Results in Mathematics 5 Tôhoku Mathematical Journal. Second Series 5 Applied Mathematics and Mechanics. (English Edition) 5 Journal of Difference Equations and Applications 5 Journal of Applied Mathematics and Computing 5 Mediterranean Journal of Mathematics 5 Complex Variables and Elliptic Equations 4 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 4 International Journal of Mathematics and Mathematical Sciences 4 Electronic Journal of Differential Equations (EJDE) 4 Turkish Journal of Mathematics 4 Filomat 4 International Journal of Differential Equations 4 Advances in Nonlinear Analysis 3 Mathematische Zeitschrift 3 Proceedings of the Japan Academy. Series A 3 Zeitschrift für Analysis und ihre Anwendungen 3 Acta Mathematicae Applicatae Sinica. English Series 3 NoDEA. Nonlinear Differential Equations and Applications 3 Mathematical Modelling and Analysis 3 Discrete and Continuous Dynamical Systems. Series B 3 Open Mathematics 2 Mathematical Methods in the Applied Sciences 2 Archiv der Mathematik 2 Glasgow Mathematical Journal 2 Hiroshima Mathematical Journal 2 Mathematische Annalen 2 Siberian Mathematical Journal 2 Acta Applicandae Mathematicae 2 Applications of Mathematics 2 Aequationes Mathematicae 2 International Journal of Computer Mathematics 2 Applied Mathematics. Series B (English Edition) 2 Computational and Applied Mathematics 2 Complexity 2 Journal of Applied Analysis 2 Functional Differential Equations 2 Discrete Dynamics in Nature and Society 2 LMS Journal of Computation and Mathematics 2 Qualitative Theory of Dynamical Systems 2 Nonlinear Analysis. Real World Applications 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Differential Equations and Applications 2 Palestine Journal of Mathematics 2 Journal of Function Spaces 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Lithuanian Mathematical Journal 1 Periodica Mathematica Hungarica 1 Chaos, Solitons and Fractals 1 Aplikace Matematiky 1 Archivum Mathematicum 1 Demonstratio Mathematica 1 Duke Mathematical Journal 1 Funkcialaj Ekvacioj. Serio Internacia 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of the London Mathematical Society. Second Series 1 Mathematika 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti del Seminario Matematico della Università di Padova 1 Insurance Mathematics & Economics 1 Japan Journal of Applied Mathematics ...and 53 more Serials
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### Cited in 24 Fields

 618 Ordinary differential equations (34-XX) 277 Partial differential equations (35-XX) 50 Difference and functional equations (39-XX) 43 Real functions (26-XX) 37 Operator theory (47-XX) 12 Potential theory (31-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Numerical analysis (65-XX) 7 Integral equations (45-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Biology and other natural sciences (92-XX) 3 Differential geometry (53-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 3 Astronomy and astrophysics (85-XX) 2 History and biography (01-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of particles and systems (70-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)