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Kalashnikov, Anatoliĭ Sergeevich

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Author ID: kalashnikov.anatolii-s Recent zbMATH articles by "Kalashnikov, Anatoliĭ Sergeevich"
Published as: Kalashnikov, A. S.; Kalashnikov, Anatolii S.; Kalasnikov, A. S.; Kalašnikov, A. S.
External Links: MGP · Math-Net.Ru
Documents Indexed: 92 Publications since 1957
Biographic References: 3 Publications

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 610 times in 508 Documents Cited by Year
Some problems of the qualitative theory of nonlinear degenerate second- order parabolic equations. Zbl 0642.35047
Kalashnikov, A. S.
195
1987
The Cauchy problem and boundary problems for equations of the type of non-stationary filtration. Zbl 0093.10302
Oleĭnik, O. A.; Kalashnikov, A. S.; Zhou, Yu-lin
118
1958
Lineare Gleichungen zweiter Ordnung vom parabolischen Typus. Zbl 0108.28401
Il’in, A. M.; Kalashnikov, A. S.; Oleĭnik, O. A.
49
1962
Linear second-order partial differential equations of the parabolic type. Zbl 0988.35001
Il’in, A. M.; Kalashnikov, A. S.; Oleinik, O. A.
34
2001
The propagation of disturbances in problems of non-linear heat conduction with absorption. Zbl 0306.35060
Kalasnikov, A. S.
32
1975
On a nonlinear equation appearing in the nonstationary filtration theory. Zbl 0415.35044
Kalashnikov, A. S.
27
1978
Some unsolved problems in the theory of differential equations and mathematical physics. Zbl 0703.35002
Arnol’d, V. I.; Vishik, M. I.; Il’yashenko, Yu. S.; Kalashnikov, A. S.; Kondrat’ev, V. A.; Kruzhkov, S. N.; Landis, E. M.; Millionshchikov, V. M.; Oleĭnik, O. A.; Filippov, A. F.; Shubin, M. A.
26
1989
The nature of the propagation of perturbations in processes that can be described by quasilinear degenerate parabolic equations. Zbl 0318.35047
Kalashnikov, A. S.
15
1975
Über das Cauchy-Problem in einer Klasse wachsender Funktionen für Gleichungen vom Typ der nichtstationären Filtration. Zbl 0158.11502
Kalashnikov, A. S.
9
1963
Über die Differentialeigenschaften der verallgemeinerten Lösungen von Gleichungen vom Typ der instationären Filtration. Zbl 0272.35016
Kalashnikov, A. S.
8
1974
The construction of generalized solutions to quasilinear first order equations without convexity condition as limits of solutions to parabolic equations with a small parameter. Zbl 0100.09203
Kalašnikov, A. S.
8
1959
On the propagation of perturbations in the first boundary value problem for a degenerate parabolic equation with double nonlinearity. Zbl 0494.35010
Kalashnikov, A. S.
7
1982
Instantaneous compactification of supports of solutions to semilinear parabolic equations and systems thereof. Zbl 0702.35022
Kalashnikov, A. S.
6
1990
On the Cauchy problem for degenerate parabolic equations of second order with non-power non-linearities. Zbl 0461.35052
Kalashnikov, A. S.
6
1981
Instantaneous shrinking of the support for solutions to certain parabolic equations and systems. Zbl 0921.35069
Kalashnikov, Anatolii S.
5
1997
On dependence of properties of solutions of parabolic equations in unbounded domains on the behavior of the coefficients at infinity. Zbl 0583.35049
Kalashnikov, A. S.
5
1984
On the heat conduction equation in a medium with non-uniformly distributed nonlinear heat sources and absorbers. Zbl 0523.35060
Kalashnikov, A. S.
5
1983
The occurrence of singularities in solutions of the non-steady seepage equation. Zbl 0184.53201
Kalasnikov, A. S.
5
1967
On some nonlinear systems describing the dynamics of competing biological species. Zbl 0642.92015
Kalashnikov, A. S.
4
1987
Cauchy problem for second-order degenerate parabolic equations with nonpower nonlinearities. Zbl 0589.35068
Kalashnikov, A. S.
4
1986
The effect of absorption on heat propagation in a medium in which the thermal conductivity depends on temperature. Zbl 0352.35056
Kalasnikov, A. S.
4
1977
On the differential properties of generalized solutions of equations of the nonsteady-state filtration type. Zbl 0282.35052
Kalasnikov, A. S.
4
1974
Perturbations of critical exponents in certain nonlinear problems of mathematical physics. Zbl 0842.76085
Kalashnikov, A. S.
3
1994
On the behaviour of solutions of the Cauchy problem for parabolic systems with nonlinear dissipation near the initial hyperplane. Zbl 0823.35075
Kalashnikov, A. S.
3
1992
Cauchy’s problem in classes of increasing functions for certain quasilinear degenerate parabolic equations of the second order. Zbl 0304.35059
Kalasnikov, A. S.
3
1975
On some problems in the nonlinear theory of heat conduction with data containing a small parameter in the exponents. Zbl 1026.35502
Kalashnikov, A. S.
2
1995
Nonlinear heat transfer phenomena in media with nearly linear sources or sinks. Zbl 0855.35068
Kalashnikov, A. S.
2
1995
On quasilinear degenerating parabolic equations with singular lower-order terms and growing initial values. Zbl 0833.35080
Kalashnikov, A. S.
2
1993
Nonlinear phenomena in nonstationary processes described by asymptotically linear equations. Zbl 0802.35058
Kalashnikov, A. S.
2
1993
On the dependence of properties of solutions of parabolic equations in unbounded domains on the behavior of the coefficients at infinity. Zbl 0599.35077
Kalashnikov, A. S.
2
1986
Propagation of perturbations in the first boundary-value problem for a double-nonlinear degenerate parabolic equation. Zbl 0584.35004
Kalashnikov, A. S.
2
1986
Increasing solutions of linear second-order equations with nonnegative characteristic form. Zbl 0179.42804
Kalashnikov, A. S.
2
1968
On the initial jump of the free boundary in a boundary-value problem for the semilinear heat conduction equation with absorption. Zbl 0917.35166
Kalashnikov, A. S.
1
1997
On some nonlinear problems in mathematical physics with exponents close to critical ones. Zbl 0917.35105
Kalashnikov, A. S.
1
1996
On the behavior of the solutions of the Cauchy problem for parabolic systems with nonlinear dissipation near the initial hyperplane. Zbl 0835.35062
Kalashnikov, A. S.
1
1994
On a class of systems “reaction-diffusion” type. Zbl 0693.35082
Kalashnikov, A. S.
1
1989
On the propagation of perturbations in processes described by degenerate parabolic equations with non-power nonlinearities. Zbl 0564.35059
Kalashnikov, A. S.
1
1984
On conditions of positiveness and boundedness of the solutions of the second boundary value problems for parabolic equations. Zbl 0483.35042
Kalashnikov, A. S.
1
1981
Classes of uniqueness for integrodifferential equations with Volterra operators of convolution type. Zbl 0441.45013
Kalashnikov, A. S.
1
1979
Über den Begriff der endlichen Geschwindigkeit in der Ausbreitung von Störungen. Zbl 0405.35021
Kalasnikov, A. S.
1
1979
Über den Charakter der Fortpflanzung von Störungen in Problemen der nichtlinearen Wärmeleitung mit Absorption. Zbl 0297.35045
Kalasnikov, A. S.
1
1974
On equations of the nonstationary-filtration type in which the perturbation is propagated at infinite velocity. Zbl 0261.35016
Kalasnikov, A. S.
1
1973
The problem without initial conditions in classes of increasing functions for certain second-order linear degenerate parabolic systems. I. Zbl 0215.16701
Kalashnikov, A. S.
1
1971
Linear second-order partial differential equations of the parabolic type. Zbl 0988.35001
Il’in, A. M.; Kalashnikov, A. S.; Oleinik, O. A.
34
2001
Instantaneous shrinking of the support for solutions to certain parabolic equations and systems. Zbl 0921.35069
Kalashnikov, Anatolii S.
5
1997
On the initial jump of the free boundary in a boundary-value problem for the semilinear heat conduction equation with absorption. Zbl 0917.35166
Kalashnikov, A. S.
1
1997
On some nonlinear problems in mathematical physics with exponents close to critical ones. Zbl 0917.35105
Kalashnikov, A. S.
1
1996
On some problems in the nonlinear theory of heat conduction with data containing a small parameter in the exponents. Zbl 1026.35502
Kalashnikov, A. S.
2
1995
Nonlinear heat transfer phenomena in media with nearly linear sources or sinks. Zbl 0855.35068
Kalashnikov, A. S.
2
1995
Perturbations of critical exponents in certain nonlinear problems of mathematical physics. Zbl 0842.76085
Kalashnikov, A. S.
3
1994
On the behavior of the solutions of the Cauchy problem for parabolic systems with nonlinear dissipation near the initial hyperplane. Zbl 0835.35062
Kalashnikov, A. S.
1
1994
On quasilinear degenerating parabolic equations with singular lower-order terms and growing initial values. Zbl 0833.35080
Kalashnikov, A. S.
2
1993
Nonlinear phenomena in nonstationary processes described by asymptotically linear equations. Zbl 0802.35058
Kalashnikov, A. S.
2
1993
On the behaviour of solutions of the Cauchy problem for parabolic systems with nonlinear dissipation near the initial hyperplane. Zbl 0823.35075
Kalashnikov, A. S.
3
1992
Instantaneous compactification of supports of solutions to semilinear parabolic equations and systems thereof. Zbl 0702.35022
Kalashnikov, A. S.
6
1990
Some unsolved problems in the theory of differential equations and mathematical physics. Zbl 0703.35002
Arnol’d, V. I.; Vishik, M. I.; Il’yashenko, Yu. S.; Kalashnikov, A. S.; Kondrat’ev, V. A.; Kruzhkov, S. N.; Landis, E. M.; Millionshchikov, V. M.; Oleĭnik, O. A.; Filippov, A. F.; Shubin, M. A.
26
1989
On a class of systems “reaction-diffusion” type. Zbl 0693.35082
Kalashnikov, A. S.
1
1989
Some problems of the qualitative theory of nonlinear degenerate second- order parabolic equations. Zbl 0642.35047
Kalashnikov, A. S.
195
1987
On some nonlinear systems describing the dynamics of competing biological species. Zbl 0642.92015
Kalashnikov, A. S.
4
1987
Cauchy problem for second-order degenerate parabolic equations with nonpower nonlinearities. Zbl 0589.35068
Kalashnikov, A. S.
4
1986
On the dependence of properties of solutions of parabolic equations in unbounded domains on the behavior of the coefficients at infinity. Zbl 0599.35077
Kalashnikov, A. S.
2
1986
Propagation of perturbations in the first boundary-value problem for a double-nonlinear degenerate parabolic equation. Zbl 0584.35004
Kalashnikov, A. S.
2
1986
On dependence of properties of solutions of parabolic equations in unbounded domains on the behavior of the coefficients at infinity. Zbl 0583.35049
Kalashnikov, A. S.
5
1984
On the propagation of perturbations in processes described by degenerate parabolic equations with non-power nonlinearities. Zbl 0564.35059
Kalashnikov, A. S.
1
1984
On the heat conduction equation in a medium with non-uniformly distributed nonlinear heat sources and absorbers. Zbl 0523.35060
Kalashnikov, A. S.
5
1983
On the propagation of perturbations in the first boundary value problem for a degenerate parabolic equation with double nonlinearity. Zbl 0494.35010
Kalashnikov, A. S.
7
1982
On the Cauchy problem for degenerate parabolic equations of second order with non-power non-linearities. Zbl 0461.35052
Kalashnikov, A. S.
6
1981
On conditions of positiveness and boundedness of the solutions of the second boundary value problems for parabolic equations. Zbl 0483.35042
Kalashnikov, A. S.
1
1981
Classes of uniqueness for integrodifferential equations with Volterra operators of convolution type. Zbl 0441.45013
Kalashnikov, A. S.
1
1979
Über den Begriff der endlichen Geschwindigkeit in der Ausbreitung von Störungen. Zbl 0405.35021
Kalasnikov, A. S.
1
1979
On a nonlinear equation appearing in the nonstationary filtration theory. Zbl 0415.35044
Kalashnikov, A. S.
27
1978
The effect of absorption on heat propagation in a medium in which the thermal conductivity depends on temperature. Zbl 0352.35056
Kalasnikov, A. S.
4
1977
The propagation of disturbances in problems of non-linear heat conduction with absorption. Zbl 0306.35060
Kalasnikov, A. S.
32
1975
The nature of the propagation of perturbations in processes that can be described by quasilinear degenerate parabolic equations. Zbl 0318.35047
Kalashnikov, A. S.
15
1975
Cauchy’s problem in classes of increasing functions for certain quasilinear degenerate parabolic equations of the second order. Zbl 0304.35059
Kalasnikov, A. S.
3
1975
Über die Differentialeigenschaften der verallgemeinerten Lösungen von Gleichungen vom Typ der instationären Filtration. Zbl 0272.35016
Kalashnikov, A. S.
8
1974
On the differential properties of generalized solutions of equations of the nonsteady-state filtration type. Zbl 0282.35052
Kalasnikov, A. S.
4
1974
Über den Charakter der Fortpflanzung von Störungen in Problemen der nichtlinearen Wärmeleitung mit Absorption. Zbl 0297.35045
Kalasnikov, A. S.
1
1974
On equations of the nonstationary-filtration type in which the perturbation is propagated at infinite velocity. Zbl 0261.35016
Kalasnikov, A. S.
1
1973
The problem without initial conditions in classes of increasing functions for certain second-order linear degenerate parabolic systems. I. Zbl 0215.16701
Kalashnikov, A. S.
1
1971
Increasing solutions of linear second-order equations with nonnegative characteristic form. Zbl 0179.42804
Kalashnikov, A. S.
2
1968
The occurrence of singularities in solutions of the non-steady seepage equation. Zbl 0184.53201
Kalasnikov, A. S.
5
1967
Über das Cauchy-Problem in einer Klasse wachsender Funktionen für Gleichungen vom Typ der nichtstationären Filtration. Zbl 0158.11502
Kalashnikov, A. S.
9
1963
Lineare Gleichungen zweiter Ordnung vom parabolischen Typus. Zbl 0108.28401
Il’in, A. M.; Kalashnikov, A. S.; Oleĭnik, O. A.
49
1962
The construction of generalized solutions to quasilinear first order equations without convexity condition as limits of solutions to parabolic equations with a small parameter. Zbl 0100.09203
Kalašnikov, A. S.
8
1959
The Cauchy problem and boundary problems for equations of the type of non-stationary filtration. Zbl 0093.10302
Oleĭnik, O. A.; Kalashnikov, A. S.; Zhou, Yu-lin
118
1958
all top 5

Cited by 527 Authors

27 Mu, Chunlai
18 Vazquez, Juan Luis
14 Galaktionov, Victor Aleksandrovich
13 Gilding, Brian H.
13 Kersner, Robert
13 Peletier, Lambertus Adrianus
12 Abdulla, Ugur G.
12 Kamin, Shoshana
12 Yin, Jingxue
11 Gao, Wenjie
11 Yang, Zuodong
9 Diaz Diaz, Jesus Ildefonso
9 Ivanov, Aleksandr Vasil’evich
8 Zheng, Pan
7 Aronson, Donald G.
7 Fiedler, Bernold
6 Antontsev, Stanislav Nikolaevich
6 Punzo, Fabio
6 Rocha, Carlos
6 Teo, Kok Lay
6 Vespri, Vincenzo Riccardo
6 Wang, Zejia
5 de Pablo, Arturo
5 Han, Yuzhu
5 van Duijn, Cornelis Johannes
5 Wang, Chunpeng
5 Xiang, Zhaoyin
5 Zhan, Huashui
5 Zhou, Jun
4 Alonso Rodríguez, Ana
4 Bertsch, Michiel
4 Besala, Piotr
4 Bratus, Alexander S.
4 Denisov, Vasiliĭ Nikolaevich
4 DiBenedetto, Emmanuele
4 Kirane, Mokhtar
4 Li, Zhongping
4 Lu, Yunguang
4 MacCamy, Richard C.
4 Su, Ning
4 Tesei, Alberto
4 Tian, Ya
3 Andreucci, Daniele
3 Audrito, Alessandro
3 Chaves, Manuela
3 Deng, Lihua
3 Du, Runmei
3 Filo, Ján
3 Guo, Bin
3 Gurtin, Morton Edward
3 Hayasida, Kazuya
3 Herrero, Miguel Ángel
3 Jäger, Willi
3 Jüngel, Ansgar
3 Kalashnikov, Anatoliĭ Sergeevich
3 King, John Robert
3 Kurta, Vasyl’ Vasyl’ovych
3 Laurençot, Philippe
3 Liu, Dengming
3 Muravnik, Andreĭ Borisovich
3 Quirós Gracián, Fernando
3 Rudykh, Gennady Alekseevich
3 Shang, Haifeng
3 Shishkov, Andrey E.
3 Shmarev, Sergei I.
3 Suzuki, Ryuichi
3 Wu, Kuilin
3 Yuan, Hongjun
3 Zheng, Sining
2 Ahmetolan, Semra
2 Anderson, Jeffrey R.
2 Ashbaugh, Mark S.
2 Benguria, Rafael D.
2 Bernis, Francisco
2 Budd, Christopher John
2 Carrillo de la Plata, José Antonio
2 Dal Passo, Roberta
2 Denisov, V. N.
2 Esteban, Juan Ramón
2 Fang, Zhong
2 Fornaro, Simona
2 Francsics, Gábor
2 Friedman, Avner
2 Grebenev, Vladimir N.
2 Guedda, Mohammed
2 Guidolin, P. L.
2 Guo, Jong-Shenq
2 Han, Maoan
2 Hill, James Murray
2 Hu, Xuegang
2 Jin, Chunhua
2 Kahane, Charles S.
2 Kazakov, Aleksandr Leonidovich
2 Knerr, Barry F.
2 Korpusov, Maksim Olegovich
2 Korshun, Kirill V.
2 Laskri, Yamina
2 Lei, Peidong
2 Levine, Howard Allen
2 Ling, Zhengqiu
...and 427 more Authors
all top 5

Cited in 139 Serials

51 Journal of Mathematical Analysis and Applications
39 Journal of Differential Equations
28 Nonlinear Analysis. Theory, Methods & Applications
26 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
18 Journal of Mathematical Sciences (New York)
16 Archive for Rational Mechanics and Analysis
16 Applied Mathematics and Computation
12 Applicable Analysis
10 Journal of Applied Mathematics and Mechanics
10 Annali di Matematica Pura ed Applicata. Serie Quarta
10 Communications in Partial Differential Equations
9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
7 Mathematical Methods in the Applied Sciences
7 Mathematical Notes
7 Siberian Mathematical Journal
7 Transactions of the American Mathematical Society
7 Boundary Value Problems
6 Israel Journal of Mathematics
6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
6 Applied Mathematics Letters
6 Abstract and Applied Analysis
5 Computers & Mathematics with Applications
5 Journal of Computational Physics
5 Journal of Dynamics and Differential Equations
4 Mathematische Annalen
4 Proceedings of the Japan Academy. Series A
4 Doklady Mathematics
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Journal of Siberian Federal University. Mathematics & Physics
3 Journal of Engineering Mathematics
3 Advances in Mathematics
3 Journal of Computational and Applied Mathematics
3 Journal of Functional Analysis
3 Journal of Soviet Mathematics
3 Manuscripta Mathematica
3 Mathematische Nachrichten
3 Zeitschrift für Analysis und ihre Anwendungen
3 Physica D
3 Acta Mathematicae Applicatae Sinica. English Series
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 NoDEA. Nonlinear Differential Equations and Applications
3 Sbornik: Mathematics
3 Discrete and Continuous Dynamical Systems
3 Differential Equations
3 Journal of Evolution Equations
2 Bulletin of the Australian Mathematical Society
2 Communications in Mathematical Physics
2 Journal of Statistical Physics
2 Mathematical Biosciences
2 Ukrainian Mathematical Journal
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Annales Polonici Mathematici
2 Archiv der Mathematik
2 Mathematics and Computers in Simulation
2 Mathematische Zeitschrift
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Studies in Applied Mathematics
2 Acta Applicandae Mathematicae
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Applied Mathematical Modelling
2 St. Petersburg Mathematical Journal
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Journal of Applied Mechanics and Technical Physics
2 Communications in Nonlinear Science and Numerical Simulation
2 Communications in Contemporary Mathematics
2 Nonlinear Analysis. Real World Applications
2 Journal of Applied Mathematics and Computing
2 Analysis and Applications (Singapore)
1 Computer Methods in Applied Mechanics and Engineering
1 International Journal of Systems Science
1 Journal of Mathematical Physics
1 Lithuanian Mathematical Journal
1 Nonlinearity
1 Physics Letters. A
1 Rocky Mountain Journal of Mathematics
1 Theoretical and Mathematical Physics
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Mathematics of Computation
1 Annales de l’Institut Fourier
1 Czechoslovak Mathematical Journal
1 Duke Mathematical Journal
1 Glasgow Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Optimization Theory and Applications
1 Journal für die Reine und Angewandte Mathematik
1 Kyungpook Mathematical Journal
1 Mathematica Slovaca
1 Mathematika
1 Meccanica
1 Monatshefte für Mathematik
1 Proceedings of the American Mathematical Society
1 Quarterly of Applied Mathematics
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Rendiconti del Seminario Matematico della Università di Padova
1 Results in Mathematics
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Chinese Annals of Mathematics. Series B
1 Acta Mathematica Hungarica
1 Applied Numerical Mathematics
...and 39 more Serials

Citations by Year