New criteria for the existence of periodic and almost periodic solutions for some evolution equations in Banach spaces.
Nonlinear functional integrodifferential equations in Hilbert space.
Nonlinear nonautonomous partial functional differential BVP.
Nonlinear pseudodifferential equations on a half-line with large initial data.
Nonlinear variational inequalities of semilinear parabolic type.
Nonlocal problem for the hyperbolic system of differential equation of the first order.
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.
Nonlocal problems for quasilinear functional partial differential equations of first order.
Existence and uniqueness of almost everywhere solutions of nonlocal problems to functional partial differential systems in diagonal form are investigated. The proof is based on the characteristics and fixed point methods.
Nonlocal quasilinear damped differential inclusions.
Novel criteria on global robust exponential stability to a class of reaction-diffusion neural networks with delays.
Numerical approximations of parabolic differential functional equations with the initial boundary conditions of the Neumann type
The aim of this paper is to present a numerical approximation for quasilinear parabolic differential functional equations with initial boundary conditions of the Neumann type. The convergence result is proved for a difference scheme with the property that the difference operators approximating mixed derivatives depend on the local properties of the coefficients of the differential equation. A numerical example is given.
Numerical solutions to the Darboux problem with functional dependence.