Existence of pseudo-almost automorphic mild solutions to some nonautonomous partial evolution equations.
Existence of solution and positive solution for a nonlinear third-order -point BVP.
Existence of solution for a singular elliptic equation with critical Sobolev-Hardy exponents.
Existence of solution for third order m-point boundary value problem.
Existence of solution to nonlinear boundary value problem for ordinary differential equation of the second order in Hilbert space
In this paper we deal with the boundary value problem in the Hilbert space. Existence of a solutions is proved by using the method of lower and upper solutions. It is not necessary to suppose that the homogeneous problem has only the trivial solution. We use some results from functional analysis, especially the fixed-point theorem in the Banach space with a cone (Theorem 4.1, [5]).
Existence of solutions and algorithm for a system of variational inequalities.
Existence of solutions and convergence of a multistep iterative algorithm for a system of variational inclusions with -accretive operators.
Existence of solutions and nonnegative solutions for prescribed variable exponent mean curvature impulsive system initialized boundary value problems.
Existence of solutions and of multiple solutions for nonlinear nonsmooth periodic systems
In this paper we examine nonlinear periodic systems driven by the vectorial -Laplacian and with a nondifferentiable, locally Lipschitz nonlinearity. Our approach is based on the nonsmooth critical point theory and uses the subdifferential theory for locally Lipschitz functions. We prove existence and multiplicity results for the “sublinear” problem. For the semilinear problem (i.e. ) using a nonsmooth multidimensional version of the Ambrosetti-Rabinowitz condition, we prove an existence theorem...
Existence of solutions for a certain differential inclusion of third order.
Existence of solutions for a class of first order boundary value problems
In this work, we are interested in the existence of solutions for a class of first order boundary value problems (BVPs for short). We give new sufficient conditions under which the considered problems have at least one solution, one nonnegative solution and two non trivial nonnegative solutions, respectively. To prove our main results we propose a new approach based upon recent theoretical results. The results complement some recent ones.
Existence of solutions for a class of fourth-order -point boundary value problems.
Existence of solutions for a class of weighted -Laplacian system multipoint boundary value problems.
Existence of solutions for a family of polyharmonic and biharmonic equations.
Existence of solutions for a nonlinear elliptic equation with general flux term.
Existence of solutions for a second order abstract functional differential equation with state-dependent delay.
Existence of solutions for an abstract second-order differential equation with nonlocal conditions.
Existence of solutions for evolution equations in Hilbert spaces with anti-periodic boundary conditions and its applications
We establish the existence of solutions for evolution equations in Hilbert spaces with anti-periodic boundary conditions. The energies associated to these evolution equations are quadratic forms. Our approach is based on application of the Schaefer fixed-point theorem combined with the continuity method.
Existence of solutions for fourth-order four-point boundary value problem on time scales.
Existence of solutions for fractional differential inclusions with boundary conditions.