Hyperbolic functional-differential equations with unbounded delay.
First order partial functional differential equations with unbounded delay.
Numerical solutions to the Darboux problem with functional dependence.
Implicit difference inequalities corresponding to first-order partial differential functional equations.
On the Chaplygin method for partial differential-functional equations of the first order
On the Cauchy problem for linear partial differential-functional equations of first order
On mixed inequalities between solutions of an almost linear partial differential equation of the first order with a retarded argument
Existence of solutions of first order partial differential-functional equations
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A boundary value problem for quasilinear hyperbolic systems with a retarded argument
On the characteristics for a system of partial differential equations of the first order in a special case
On non-linear Volterra integral-functional equations in several variables
Comparison of explicit and implicit difference methods for quasilinear functional differential equations
We give a theorem on error estimates of approximate solutions for explicit and implicit difference functional equations with unknown functions of several variables. We apply this general result to investigate the stability of difference methods for quasilinear functional differential equations with initial boundary condition of Dirichlet type. We consider first order partial functional differential equations and parabolic functional differential problems. We compare the properties of explicit...
Functional differential inequalities with unbounded delay
Classical solutions of functional partial differential inequalities with initial boundary conditions are estimated by maximal solutions of suitable problems for ordinary functional differential equations. Uniqueness of solutions and continuous dependence on given functions are obtained as applications of the comparison result. A theorem on weak functional differential inequalities generated by mixed problems is proved. Our method is based on an axiomatic approach to equations with unbounded delay....
On a certain case of asymptotic stability of the integral of the differential equation
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Line method approximations to the initial-boundary value problem of Neumann type for parabolic differential-functional equations
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Difference methods for nonlinear parabolic differential-functional systems with initial boundary conditions of the Neumann type
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On a special case of asymptotic stability in a uniform manner with respect to the initial conditions
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On a certain case of asymptotic stability of the solution of a system of ordinary differential equations
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