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## Kato, Junji

Compute Distance To:
 Author ID: kato.junji.1 Published as: Kato, J.; Kato, Junji
 Documents Indexed: 61 Publications since 1962, including 2 Books
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#### Co-Authors

 41 single-authored 6 Yoshizawa, Taro 2 Naito, Toshiki 2 Shin, Jong Son 2 Sibuya, Yasutaka 1 Hale, Jack Kenneth 1 Kurosaki, Sadao 1 Martynyuk, Anatoliĭ Andriĭovych 1 Nakajima, Fumio 1 Pan, Jaqi 1 Pan, Jiaqi 1 Shestakov, Aleksandr Andreevich 1 Strauss, Aaron
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#### Serials

 9 Funkcialaj Ekvacioj. Serio Internacia 8 Tohoku Mathematical Journal. Second Series 2 Journal of Mathematical Analysis and Applications 2 Journal of Differential Equations 1 Rocky Mountain Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 Journal of the Faculty of Science. Section I A 1 Journal of Northeast Normal University. Natural Science Edition 1 Dynamic Systems and Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Difference Equations and Applications 1 Vietnam Journal of Mathematics 1 RIMS Kokyuroku 1 Japanese Journal of Mathematics
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#### Fields

 41 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Integral equations (45-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH

37 Publications have been cited 643 times in 549 Documents Cited by Year
Phase space for retarded equations with infinite delay. Zbl 0383.34055
Hale, Jack K.; Kato, Junji
1978
Stability problem in functional differential equations with infinite delay. Zbl 0413.34076
Kato, Junji
1978
On Liapunov-Razumikhin type theorems for functional differential equations. Zbl 0321.34056
Kato, Junji
1973
Stability of motion of nonautonomous systems. (Method of limiting equations) Transl. from the Russian. Zbl 0866.34046
Kato, J.; Martynyuk, A. A.; Shestakov, A. A.
1996
Uniformly asymptotic stability and total stability. Zbl 0209.11702
Kato, J.
1970
On a boundedness condition for solutions of a generalized Liénard equation. Zbl 0612.34042
Kato, Junji
1986
Liapunov’s second method in functional differential equations. Zbl 0471.34055
Kato, Junji
1980
A relationship between uniformly asymptotic stability and total stability. Zbl 0195.09901
Kato, Junji; Yoshizawa, Taro
1969
Remarks on global properties in limiting equations. Zbl 0504.34029
Kato, Junji; Yoshizawa, Taro
1981
Asymptotic behaviors in functional differential equations. Zbl 0154.08901
Kato, J.
1966
A simple boundedness theorem for a Liénard equation with damping. Zbl 0721.34063
Kato, Junji
1990
Remarks on linear functional differential equations. Zbl 0184.18102
Kato, J.
1969
On the global existence of solutions and Liapunov functions. Zbl 0155.13802
Kato, J.; Strauss, Aaron
1967
Favard’s separation theorem in functional differential equations. Zbl 0335.34042
Kato, Junji
1975
A remark on a result of Strauss. Zbl 0208.11705
Kato, J.
1968
On the existence of a solution approaching zero for functional differential equations. Zbl 0189.40201
Kato, J.
1967
The asymptotic equivalence of systems of functional differential equations. Zbl 0151.10202
Kato, J.
1965
The asymptotic relations of two systems of ordinary differential equations. Zbl 0137.28101
Kato, J.
1964
Stability domain of a chemostat system with delay. Zbl 0919.92038
Kato, Junji; Pan, Jiaqi
1999
An autonomous system whose solutions are uniformly ultimately bounded but not uniformly bounded. Zbl 0477.34046
Kato, Junji
1980
Bounded solutions and periodic solutions to linear differential equations in Banach spaces. Zbl 1039.34053
Kato, Junji; Naito, Toshiki; Shin, Jong Son
2002
Lyapunov functional vs. Lyapunov function. Zbl 0796.34069
Kato, Junji
1991
Boundedness theorems on Liénard type differential equations with damping. Zbl 0701.34042
Kato, Junji
1988
A characterization of solutions in linear differential equations with periodic forcing functions. Zbl 1073.34006
Kato, J.; Naito, T.; Shin, J. S.
2005
Boundedness in functional differential equations. Zbl 0854.34070
Kato, Junji
1996
A conjecture in Lyapunov method for functional differential equations. Zbl 0846.34080
Kato, Junji
1996
Asymptotic behavior in functional differential equations with infinite delay. Zbl 0526.34064
Kato, Junji
1983
Stability in functional differential equations. Zbl 0437.34059
Kato, Junji
1980
On Liapunov -Razumikhin type theorems. Zbl 0302.34082
Kato, Junji
1971
On the existence of O-curves. II. Zbl 0189.40202
Kato, J.
1967
Asymptotic equivalences between systems of differential equations and their perturbed systems. Zbl 0138.33002
Kato, J.
1966
Phase space for functional differential equations. Zbl 0713.34074
Kato, J.
1990
Asymptotic estimation in functional differential equations via Liapunov function. Zbl 0617.34070
Kato, J.
1987
Stability under the perturbation by a class of functions. Zbl 0345.34038
Kato, Junji; Yoshizawa, Taro
1976
Asymptotic behavior of solutions near integral manifolds. Zbl 0162.39401
Yoshizawa, T.; Kato, J.
1967
On the existence of O-curves. Zbl 0153.40601
Kato, J.
1967
The asymptotic behavior of the solutions of differential equations on the product space. Zbl 0117.05202
Kato, J.
1962
A characterization of solutions in linear differential equations with periodic forcing functions. Zbl 1073.34006
Kato, J.; Naito, T.; Shin, J. S.
2005
Bounded solutions and periodic solutions to linear differential equations in Banach spaces. Zbl 1039.34053
Kato, Junji; Naito, Toshiki; Shin, Jong Son
2002
Stability domain of a chemostat system with delay. Zbl 0919.92038
Kato, Junji; Pan, Jiaqi
1999
Stability of motion of nonautonomous systems. (Method of limiting equations) Transl. from the Russian. Zbl 0866.34046
Kato, J.; Martynyuk, A. A.; Shestakov, A. A.
1996
Boundedness in functional differential equations. Zbl 0854.34070
Kato, Junji
1996
A conjecture in Lyapunov method for functional differential equations. Zbl 0846.34080
Kato, Junji
1996
Lyapunov functional vs. Lyapunov function. Zbl 0796.34069
Kato, Junji
1991
A simple boundedness theorem for a Liénard equation with damping. Zbl 0721.34063
Kato, Junji
1990
Phase space for functional differential equations. Zbl 0713.34074
Kato, J.
1990
Boundedness theorems on Liénard type differential equations with damping. Zbl 0701.34042
Kato, Junji
1988
Asymptotic estimation in functional differential equations via Liapunov function. Zbl 0617.34070
Kato, J.
1987
On a boundedness condition for solutions of a generalized Liénard equation. Zbl 0612.34042
Kato, Junji
1986
Asymptotic behavior in functional differential equations with infinite delay. Zbl 0526.34064
Kato, Junji
1983
Remarks on global properties in limiting equations. Zbl 0504.34029
Kato, Junji; Yoshizawa, Taro
1981
Liapunov’s second method in functional differential equations. Zbl 0471.34055
Kato, Junji
1980
An autonomous system whose solutions are uniformly ultimately bounded but not uniformly bounded. Zbl 0477.34046
Kato, Junji
1980
Stability in functional differential equations. Zbl 0437.34059
Kato, Junji
1980
Phase space for retarded equations with infinite delay. Zbl 0383.34055
Hale, Jack K.; Kato, Junji
1978
Stability problem in functional differential equations with infinite delay. Zbl 0413.34076
Kato, Junji
1978
Stability under the perturbation by a class of functions. Zbl 0345.34038
Kato, Junji; Yoshizawa, Taro
1976
Favard’s separation theorem in functional differential equations. Zbl 0335.34042
Kato, Junji
1975
On Liapunov-Razumikhin type theorems for functional differential equations. Zbl 0321.34056
Kato, Junji
1973
On Liapunov -Razumikhin type theorems. Zbl 0302.34082
Kato, Junji
1971
Uniformly asymptotic stability and total stability. Zbl 0209.11702
Kato, J.
1970
A relationship between uniformly asymptotic stability and total stability. Zbl 0195.09901
Kato, Junji; Yoshizawa, Taro
1969
Remarks on linear functional differential equations. Zbl 0184.18102
Kato, J.
1969
A remark on a result of Strauss. Zbl 0208.11705
Kato, J.
1968
On the global existence of solutions and Liapunov functions. Zbl 0155.13802
Kato, J.; Strauss, Aaron
1967
On the existence of a solution approaching zero for functional differential equations. Zbl 0189.40201
Kato, J.
1967
On the existence of O-curves. II. Zbl 0189.40202
Kato, J.
1967
Asymptotic behavior of solutions near integral manifolds. Zbl 0162.39401
Yoshizawa, T.; Kato, J.
1967
On the existence of O-curves. Zbl 0153.40601
Kato, J.
1967
Asymptotic behaviors in functional differential equations. Zbl 0154.08901
Kato, J.
1966
Asymptotic equivalences between systems of differential equations and their perturbed systems. Zbl 0138.33002
Kato, J.
1966
The asymptotic equivalence of systems of functional differential equations. Zbl 0151.10202
Kato, J.
1965
The asymptotic relations of two systems of ordinary differential equations. Zbl 0137.28101
Kato, J.
1964
The asymptotic behavior of the solutions of differential equations on the product space. Zbl 0117.05202
Kato, J.
1962
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#### Cited by 579 Authors

 24 Benchohra, Mouffak 24 Ezzinbi, Khalil 21 Yan, Zuomao 13 Fu, Xianlong 11 Caraballo Garrido, Tomás 11 Kato, Junji 11 Pandey, Dwijendra Narain 10 Naito, Toshiki 9 Henríquez, Hernán R. 8 Shin, Jong Son 7 Bouzahir, Hassane 7 Cuevas, Claudio 7 Jia, Xiumei 7 Lu, Fangxia 7 N’Guérékata, Gaston Mandata 7 Ouahab, Abdelghani 7 Sedova, N. O. 6 Arjunan, Mani Mallika 6 Chang, Jung-Chan 6 Haddock, John R. 6 Hernández, Eduardo M. 6 Hino, Yoshiyuki 6 Krisztin, Tibor 6 Murakami, Satoru 6 Ntouyas, Sotiris K. 6 Oliveira, José J. 6 Pham Huu Anh Ngoc 6 Ren, Yong 6 Shen, Jianhua 6 Tunç, Cemil 5 Adimy, Mostafa 5 Agarwal, Ravi P. 5 Balachandran, Krishnan 5 Das, Sanjukta 5 Diop, Mamadou Abdoul 5 Faria, Teresa 5 Liu, Zhijun 5 Lu, Chun 5 Marín-Rubio, Pedro 5 Ouhinou, Aziz 5 Sukavanam, Nagarajan 5 Wang, Lianwen 4 Abbas, Said 4 Andreev, Aleksandr Sergeevich 4 Bainov, Drumi Dimitrov 4 Băleanu, Dumitru I. 4 Barreira, Luis Manuel 4 Burton, Theodore Allen 4 Chang, Yong-Kui 4 Dabas, Jaydev 4 Furumochi, Tetsuo 4 Huang, Lihong 4 Luo, Zhiguo 4 Medjadj, Imene 4 Mokkedem, Fatima Zahra 4 O’Regan, Donal 4 Pavlikov, S. V. 4 Sakthivel, Rathinasamy 4 Sengadir, T. 4 Teng, Zhi-dong 4 Valls Anglés, Cláudia 4 Voulov, Hristo Dimitrov 4 Wu, Jianhong 3 Aissani, Khalida 3 Arthi, Ganesan 3 Athanassov, Zhivko S. 3 Balasubramaniam, Pagavathigounder 3 Boudaoui, Ahmed 3 Chadha, Alka 3 Feng, Gang 3 Gautam, Ganga Ram 3 Hamaya, Yoshihiro 3 Hammouche, Hadda 3 Hornor, William E. 3 Lakshmikantham, Vangipuram 3 Li, Meili 3 Liang, Jin 3 Litimein, Sara 3 Liu, Lu 3 Liu, Xinzhi 3 Magalhães, Luis T. 3 Muthukumar, Palanisamy 3 Nieto Roig, Juan Jose 3 Staffans, Olof Johan 3 Valero, José 3 Waltman, Paul Elvis 3 Wang, Ke 3 Wu, Fuke 3 Xiao, Ti-Jun 3 Xu, Dashun 3 Xu, Xiang 3 Xu, Yong 3 Yan, Xingxue 2 Abada, Nadjet 2 Abdo, Mohammed Salem 2 Akhmerov, Ramil R. 2 Alaidarous, Eman S. 2 Anguraj, Annamalai 2 Baliki, Abdessalam 2 Belmekki, Mohammed ...and 479 more Authors
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#### Cited in 163 Serials

 54 Journal of Mathematical Analysis and Applications 40 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 37 Journal of Differential Equations 37 Tohoku Mathematical Journal. Second Series 22 Nonlinear Analysis. Theory, Methods & Applications 17 Advances in Difference Equations 16 Applied Mathematics and Computation 10 Journal of Optimization Theory and Applications 9 Discrete and Continuous Dynamical Systems. Series B 8 Differential Equations and Dynamical Systems 7 Computers & Mathematics with Applications 7 Mathematical Methods in the Applied Sciences 7 Nonlinear Analysis. Real World Applications 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Journal of Dynamics and Differential Equations 6 Abstract and Applied Analysis 6 Afrika Matematika 6 Journal of Applied Analysis and Computation 5 Automatica 5 Acta Applicandae Mathematicae 5 Acta Mathematicae Applicatae Sinica. English Series 5 Journal of Integral Equations and Applications 5 Automation and Remote Control 5 Journal of Applied Mathematics and Computing 5 Journal of Fixed Point Theory and Applications 5 Nonlinear Analysis. Hybrid Systems 5 International Journal of Differential Equations 4 Applied Mathematics and Optimization 4 Collectanea Mathematica 4 Journal of Computational and Applied Mathematics 4 Transactions of the American Mathematical Society 4 Applied Mathematical Modelling 4 Journal of Difference Equations and Applications 3 Applicable Analysis 3 Journal of the Franklin Institute 3 Mathematical Notes 3 Systems & Control Letters 3 Applied Mathematics Letters 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Discrete and Continuous Dynamical Systems 3 Journal of Applied Mathematics 3 Mediterranean Journal of Mathematics 3 African Diaspora Journal of Mathematics 2 International Journal of Control 2 Mathematical Biosciences 2 Reports on Mathematical Physics 2 Mathematische Nachrichten 2 Mathematica Slovaca 2 Numerische Mathematik 2 Stochastic Analysis and Applications 2 Mathematical and Computer Modelling 2 Acta Mathematica Sinica. New Series 2 International Journal of Robust and Nonlinear Control 2 Journal of Nonlinear Science 2 Acta Mathematica Sinica. English Series 2 Journal of Dynamical and Control Systems 2 Differential Equations 2 Nonlinear Analysis. Modelling and Control 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Journal of Systems Science and Complexity 2 Stochastics and Dynamics 2 Cubo 2 Bulletin of the American Mathematical Society 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 S$$\vec{\text{e}}$$MA Journal 2 Electronic Journal of Mathematical Analysis and Applications EJMAA 2 Journal of Function Spaces 2 Chinese Journal of Mathematics 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Computational Physics 1 Journal of Statistical Physics 1 Nonlinearity 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 Acta Mathematica Vietnamica 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Advances in Mathematics 1 Archiv der Mathematik 1 Czechoslovak Mathematical Journal 1 Demonstratio Mathematica 1 Funkcialaj Ekvacioj. Serio Internacia 1 Hiroshima Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 Journal of Functional Analysis 1 Journal of Soviet Mathematics 1 Kybernetika 1 Mathematics and Computers in Simulation 1 Mathematical Systems Theory 1 Mathematische Zeitschrift 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Ricerche di Matematica 1 Semigroup Forum ...and 63 more Serials
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#### Cited in 24 Fields

 407 Ordinary differential equations (34-XX) 123 Operator theory (47-XX) 88 Systems theory; control (93-XX) 77 Partial differential equations (35-XX) 56 Biology and other natural sciences (92-XX) 54 Integral equations (45-XX) 51 Probability theory and stochastic processes (60-XX) 31 Dynamical systems and ergodic theory (37-XX) 18 Difference and functional equations (39-XX) 12 Real functions (26-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Numerical analysis (65-XX) 4 Fluid mechanics (76-XX) 3 Functional analysis (46-XX) 3 General topology (54-XX) 3 Mechanics of deformable solids (74-XX) 2 Abstract harmonic analysis (43-XX) 2 Mechanics of particles and systems (70-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Integral transforms, operational calculus (44-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX)