The thermistor obstacle problem with periodic data
The uniform exponential stability and the uniform stability at constantly acting disturbances of a periodic solution of a wave equation
Time periodic solutions to a nonhomogeneous Dirichlet periodic problem.
Time-periodic solutions of a quasilinear beam equation via accelerated convergence methods
The author investigates time-periodic solutions of the quasilinear beam equation with the help of accelerated convergence methods. Using the Newton iteration scheme, the problem is approximated by a sequence of linear equations solved via the Galerkin method. The derivatiove loss inherent to this kind of problems is compensated by taking advantage of smoothing operators.
Time-periodic solutions of quasilinear parabolic differential equations II. Oblique derivative boundary conditions
We study boundary value problems for quasilinear parabolic equations when the initial condition is replaced by periodicity in the time variable. Our approach is to relate the theory of such problems to the classical theory for initial-boundary value problems. In the process, we generalize many previously known results.
Time-periodic solutions of telegraph equations in spatial variables
Time-periodic weak solutions.
T-Periodic Solutions of Time Dependent Hamiltonian Systems with a Potential Vanishing at Infinity.
Un théorème de valeurs intermédiaires dans les espaces de Sobolev et applications
Unbounded solutions of BVP for second order ODE with -Laplacian on the half line
By applying the Leggett-Williams fixed point theorem in a suitably constructed cone, we obtain the existence of at least three unbounded positive solutions for a boundary value problem on the half line. Our result improves and complements some of the work in the literature.
Unique periodic solution of ES-S model.
Unstable periodic wave solutions of nerve axion diffusion equations.
Unstable simple modes for a class of Kirchhoff equations
Variational methods in nonlinear problems
Wave bifurcation in models for heterogeneous catalysis.
Weak periodic solutions of some quasilinear parabolic equations with data measures.
Weak periodic solutions of the boundary value problem for nonlinear heat equation
The paper deals with the existence of periodic solutions of the boundary value problem for nonlinear heat equation, where various types of nonlinearities are considered. The proofs are based on the investigation of Liapunov-Schmidt bifurcation system via Leray-Schauder degree theory.
Weakly nonlinear stochastic CGL equations
We consider the linear Schrödinger equation under periodic boundary conditions, driven by a random force and damped by a quasilinear damping: The force is white in time and smooth in ; the potential is typical. We are concerned with the limiting, as , behaviour of solutions on long time-intervals , and with behaviour of these solutions under the double limit and . We show that these two limiting behaviours may be described in terms of solutions for thesystem of effective equations for(...
Асимптотика периодических решений автономных параболических уравнений с малой диффузией
Асимптотическое разложение решений системы теории упругости в перфорированных областях