Existence of positive solutions for semi-positone systems.
Existence of pseudo-almost automorphic mild solutions to some nonautonomous partial evolution equations.
Existence of solutions and algorithm for a system of variational inequalities.
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 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 nonlinear mixed type integrodifferential equation of second order.
Existence of solutions for some Hammerstein type integro-differential inclusions.
Existence of Solutions of Abstract Nonlinear Mixed Functional Integrodifferential equation with nonlocal conditions
In this paper we discuss the existence of mild and strong solutions of abstract nonlinear mixed functional integrodifferential equation with nonlocal condition by using Sadovskii’s fixed point theorem and theory of fractional power of operators.
Existence of solutions of an integral equation of Chandrasekhar type in the theory of radiative transfer.
Existence of solutions of generalized fractional differential equation with nonlocal initial condition
This paper is devoted to studying the existence of solutions of a nonlocal initial value problem involving generalized Katugampola fractional derivative. By using fixed point theorems, the results are obtained in weighted space of continuous functions. Illustrative examples are also given.
Existence of solutions of the Darboux problem for partial differential equations in Banach spaces
Existence principle for advanced integral equations on semiline.
Existence principles for inclusions of Hammerstein type involving noncompact acyclic multivalued maps.
Existence result of generalized vector quasiequilibrium problems in locally -convex spaces.
Existence results for a class of semilinear degenerate elliptic equations
We prove existence results for the Dirichlet problem associated with an elliptic semilinear second-order equation of divergence form. Degeneracy in the ellipticity condition is allowed.
Existence results for boundary value problems for fourth-order differential inclusions with nonconvex valued right hand side
In this paper a fixed point theorem due to Covitz and Nadler for contraction multivalued maps, and the Schaefer’s theorem combined with a selection theorem due to Bressan and Colombo for lower semicontinuous multivalued operators with decomposables values, are used to investigate the existence of solutions for boundary value problems of fourth-order differential inclusions.
Existence results for delay second order differential inclusions
In this paper, some fixed point principle is applied to prove the existence of solutions for delay second order differential inclusions with three-point boundary conditions in the context of a separable Banach space. A topological property of the solutions set is also established.
Existence results for generalized vector equilibrium problems with multivalued mappings via KKM theory.
Existence results for impulsive dynamic inclusions on time scales.
Existence results for quasi variational inequalities.