15 research outputs found
Existence and uniqueness of random solutions of nonlinear stochastic functional integral equations
Carathéodory solutions to quasi-linear hyperbolic systems of partial differential equations with state dependent delays
On some class of quasilinear hyperbolic systems of partial differential-functional equations of the first order
Generalized solutions of mixed problems for quasilinear hyperbolic systems of functional partial differential equations in the Schauder canonic form
Local generalized solutions of mixed problems for quasilinear hyperbolic systems of functional partial differential equations in two independent variables
Global solvability of the mixed problem for first order functional partial differential equations
Nonlocal problems for first order functional partial differential equations
Local existence of generalized solutions to nonlocal problems for nonlinear functional partial differential equations of first order is investigated. The proof is based on the bicharacteristics and successive approximations methods