Existence of absorbing set for a nonlinear wave equation.
Existence of solutions for one-dimensional wave equations with nonlocal conditions.
Existence of solutions to microhyperbolic boundary value problems
Existence theory for perturbed hyperbolic differential inclusions.
Explicit Solutions of Nonlocal Boundary Value Problems, Containing Bitsadze-Samarskii Constraints
MSC 2010: 44A35, 35L20, 35J05, 35J25In this paper are found explicit solutions of four nonlocal boundary value problems for Laplace, heat and wave equations, with Bitsadze-Samarskii constraints based on non-classical one-dimensional convolutions. In fact, each explicit solution may be considered as a way for effective summation of a solution in the form of nonharmonic Fourier sine-expansion. Each explicit solution, may be used for numerical calculation of the solutions too.
Exponential decay for the semilinear wave equation with source terms.
Exponential decay for the solution of semilinear viscoelastic wave equations with localized damping.
Exponential decay of energy for some nonlinear hyperbolic equations with strong dissipation.
Exponential decay of solutions to a viscoelastic equation with nonlinear localized damping.