http://dspace.nbuv.gov.ua:80/handle/123456789/10106 2026-04-10T12:08:29Z 2026-04-10T12:08:29Z Webb, J. http://dspace.nbuv.gov.ua:80/handle/123456789/169293 2020-06-09T22:26:31Z 1999-01-01T00:00:00Z

An extension of Gronwall's inequality Webb, J.

1999-01-01T00:00:00Z Zelenyak, T.I. http://dspace.nbuv.gov.ua:80/handle/123456789/169292 2020-06-09T22:26:24Z 1999-01-01T00:00:00Z

On some problems arising from the application Zelenyak, T.I. We consider some mathematical problems, arising from the study of the continuous media. It is characteristic that these evolutionary problems are described by the equations, which do not belong to the systems of the Cauchy-Kovalevskaja class.

1999-01-01T00:00:00Z Tovmasyan, N.E. http://dspace.nbuv.gov.ua:80/handle/123456789/169291 2020-06-09T22:26:22Z 1999-01-01T00:00:00Z

Boundary value problem for certain classes of non-linear ordinary differential equations with free boundary Tovmasyan, N.E.

1999-01-01T00:00:00Z Romanenko, E.Yu. Sharkovsky, A.N. Vereikina, M.B. http://dspace.nbuv.gov.ua:80/handle/123456789/169290 2020-06-09T22:26:08Z 1999-01-01T00:00:00Z

Self-stochasticity in deterministic boundary value problems Romanenko, E.Yu.; Sharkovsky, A.N.; Vereikina, M.B. This paper presents the experience of applying dynamical systems theory to an investigation into nonlinear boundary value problems for partial differential equations (PDE for short) in the case that their solutions become chaotic with time. To describe the long time behavior of such solutions, the concept of self-stochasticity had been suggested. The results reported in this work are concerned linear systems of PDE with nonlinear boundary conditions; general ideas on the manner in which chaotic solutions may be described are set forth by the example of several simplest boundary value problems.

1999-01-01T00:00:00Z