Existence of solutions for generalized nonlinear mixed variational-like inequalities in Banach spaces.
Existence of solutions for infinite systems of parabolic equations with functional dependence
The Cauchy problem for an infinite system of parabolic type equations is studied. General operators of parabolic type of second order with variable coefficients are considered and the system is weakly coupled. We prove the existence and uniqueness of a bounded solution under Carathéodory type conditions and its differentiability, as well as the existence and uniqueness in the class of functions satisfying a natural growth condition. Both results are obtained by the fixed point method.
Existence of solutions for -point boundary value problems on a half-line.
Existence of solutions for nonconvex second order differential inclusions.
Existence of solutions for nonconvex third order differential inclusions.
Existence of solutions for nonlinear four-point -Laplacian boundary value problems on time scales.
Existence of solutions for nonlinear mixed type integrodifferential equation of second order.
Existence of solutions for nonlinear nonmonotone evolution equations in Banach spaces with anti-periodic boundary conditions
The paper is devoted to the study of the existence of solutions for nonlinear nonmonotone evolution equations in Banach spaces involving anti-periodic boundary conditions. Our approach in this study relies on the theory of monotone and maximal monotone operators combined with the Schaefer fixed-point theorem and the monotonicity method. We apply our abstract results in order to solve a diffusion equation of Kirchhoff type involving the Dirichlet -Laplace operator.
Existence of solutions for nonlocal boundary value problems of higher-order nonlinear fractional differential equations.
Existence of solutions for operator inclusions : a unified approach
Existence of solutions for second-order differential equations and systems on infinite intervals.
Existence of solutions for second-order nonlinear impulsive boundary-value problems.
Existence of solutions for semilinear differential equations with nonlocal conditions in Banach spaces.
Existence of solutions for semilinear nonlocal Cauchy problems in Banach spaces.
Existence of solutions for some Hammerstein type integro-differential inclusions.
Existence of solutions for some nonlinear beam equations.
Existence of solutions for systems of self-referred and hereditary differential equations.
Existence of solutions for the Dirichlet problem with superlinear nonlinearities
In this paper we establish the existence of nontrivial solutions to with superlinear in .
Existence of solutions for transversally elliptic left invariant differential operators on nilpotent Lie groups
Existence of solutions for two types of generalized versions of the Cahn-Hilliard equation
We show existence of solutions to two types of generalized anisotropic Cahn-Hilliard problems: In the first case, we assume the mobility to be dependent on the concentration and its gradient, where the system is supplied with dynamic boundary conditions. In the second case, we deal with classical no-flux boundary conditions where the mobility depends on concentration , gradient of concentration and the chemical potential . The existence is shown using a newly developed generalization of gradient...