Mixed problem for semilinear hyperbolic equation of second order with Dirichlet boundary condition
Global solution of mixed problem for a certain system of nonlinear conservation laws
Mixed problem for semilinear hyperbolic equation of second order with the Dirichlet boundary condition (Preliminary communication)
On the solution of the heat equation with nonlinear unbounded memory
The paper deals with the question of global solution to boundary value problem for the system of semilinear heat equation for and complementary nonlinear differential equation for (“thermal memory”). Uniqueness of the solution is shown and the method of successive approximations is used for the proof of existence of a global solution provided the condition holds. The condition is verified for some particular cases (e. g.: bounded nonlinearity, homogeneous Neumann problem (even for unbounded...
Poznámka k aplikacím Laplaceovy transformace na abstraktní diferenciální rovnice parabolického typu
Page 1