Pavlenko Vyacheslav Nikolaevich
Professor
Doctor of physico-mathematical sciences (1995)
Speciality:
01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
17.07.1946
Phone: +79049438173
E-mail: email
Keywords: equatiouns and variational inequalities with discountinuous nonlimarities; nonlinear eigenvalue problems; control problems involving discountinuous nonlimarities. elliptic problem,parabolic problem,discontinuous nonlinearities,semiregular solutions
UDC: 517.948,
517.95 ,
517.968 ,
517.97 ,
517.98 ,
517.956 ,
517.988 ,
517.956.4 , 2
MSC: 35J65 ,
35J85 ,
35K60 ,
35P30 ,
45G10 ,
47J05 ,
47J10 ,
47J20 ,
47J30 ,
49J20 ,
49K27
Subject: Foundations of the theory of equations with discontinuous nonlinearities are established. This theory includes wide class of elliptic and parabolic boundary-value problems with discontinuous nonlinearities.
Main publications:
V.N.Pavlenko, “O razreshimosti nekotorykh nelineinykh uravnenii s razryvnymi operatorami”, Dokl. AN SSSR , 204 :6 (1972), 1320-1323
V.N.Pavlenko,D.K.Potapov, “Suschestvovanie polupravilnykh reshenii ellipticheskikh spektralnykh zadach s razryvnymi nelineinostyami.”, Matematicheskii sbornik , 206 :9 (2015), 121-138
V.N.Pavlenko, “Variatsionnyi metod dlya uravnenii s razryvnymi operatorami”, Vestnik ChelGU , 1994, № 2, 87-95
V.N.Pavlenko,D.K.Potapov, “Ob odnom klasse ellipticheskikh kraevykh zadach s parametrom i razryvnymi nelineinostyami”, Izvestiya RAN.Seriya matematicheskaya. , 84 :3 (2020), 168-184
V.N.Pavlenko, “Silnye resheniya periodicheskikh parabolicheskikh zadach s razryvnymi nelineinostyami”, Differentsialnye uravneniya , 52 :4 (2016), 528-538
Pavlenko V. N., “Teoremy suschestvovaniya dlya ellipticheskikh variatsionnykh neravenstv s kvazipotentsialnymi operatorami”, Differents. uravneniya , 24 :8 (1988), 1397–1402
Pavlenko V. N., “Upravlenie singulyarnymi raspredelennymi sistemiami parabolicheskogo tipa s razryvnymi nelineinostyami”, Ukr. matem. zhurn. , 46 :6 (1994), 729–736
Pavlenko V. N., “O suschestvovanii polupravilnykh reshenii pervoi kraevoi zadachi dlya uravneniya parabolicheskogo tipa s razryvnoi nelineinostyu”, Differents. uravneniya , 27 :3 (1991), 520–526
Pavlenko V. N., Vinokur V. V., “Rezonansnye kraevye zadachi dlya uravnenii ellipticheskogo tipa s razryvnymi nelineinostyami”, Izvestiya vuzov, ser. matem. , 2001, № 5(468), 43–58
Pavlenko V. N., Potapov D. K., “O suschestvovanii lucha sobstvennykh znachenii dlya uravnenii s razryvnymi operatorami”, Sib. matem. zhurn. , 42 :4 (2001), 911–919
Publications in Math-Net.Ru
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