Existence and uniqueness of solutions Cauchy problem for nonlinear infinite systems of parabolic differential-functional equations.
Existence and uniqueness of solutions for a degenerate quasilinear parabolic problem.
We consider the following quasilinear parabolic equation of degenerate type with convection term ut = φ (u)xx + b(u)x in (-L,0) x (0,T). We solve the associate initial-boundary data problem, with nonlinear flux conditions. This problem describes the evaporation of an incompressible fluid from a homogeneous porous media. The nonlinear condition in x = 0 means that the flow of fluid leaving the porous media depends on variable meteorological conditions and in a nonlinear manner on u. In x = -L we...
Existence and uniqueness of solutions for a semilinear elliptic system.
Existence and uniqueness of solutions for a three-dimensional thermoelastic system [Book]
Existence and uniqueness of solutions for gradient systems without a compactness embedding condition
This paper is devoted to the existence and uniqueness of solutions for gradient systems of evolution which involve gradients taken with respect to time-variable inner products. The Gelfand triple considered in the setting of this paper is such that the embedding is only continuous.
Existence and uniqueness of solutions for nonlinear and non coercive problems with measure data
We prove the existence of a renormalized solution for a nonlinear non coercive divergence problem with lower order terms and measure data. In a particular case we also give a uniqueness result.
Existence and Uniqueness of Solutions for Partial Differential-Functional Equations of the First Order with Deviating Argument of the Derivative of Unknown Function
We consider the existence and uniqueness problem for partial differential-functional equations of the first order with the initial condition for which the right-hand side depends on the derivative of unknown function with deviating argument.
Existence and uniqueness of solutions for some degenerate nonlinear elliptic equations
In this article we are interested in the existence and uniqueness of solutions for the Dirichlet problem associated with the degenerate nonlinear elliptic equations in the setting of the weighted Sobolev spaces.
Existence and Uniqueness of Solutions for the Generalized Korteweg de Vries Equations.
Existence and uniqueness of solutions of nonlinear infinite systems of parabolic differential-functional equations
We consider the Fourier first initial-boundary value problem for an infinite system of weakly coupled nonlinear differential-functional equations of parabolic type. The right-hand sides of the system are functionals of unknown functions. The existence and uniqueness of the solution are proved by the Banach fixed point theorem.
Existence and Uniqueness of Solutions of Nonlinear Neumann Problems.
Existence and uniqueness of solutions of nonlocal problems for hyperbolic equation .
Existence and uniqueness of solutions of quasilinear hyperbolic systems of partial differential-functional equations
Existence and uniqueness of solutions of system governed by second order quasilinear integro-partial differential equation of parabolic type.
Existence and uniqueness of solutions to a class of stochastic functional partial differential equations via integral contractors.
Existence and uniqueness of solutions to a semilinear elliptic system.
Existence and uniqueness of solutions to wave equations with nonlinear degenerate damping and source terms
Existence and uniqueness of the solution for a time-fractional diffusion equation with Robin boundary condition.
Existence and uniqueness of the solution of Laplace's equation from a model of magnetic recording.
Existence and uniqueness of the solution of the coupled conduction-radiation energy transfer on diffuse-gray surfaces.