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 and convergence of a multistep iterative algorithm for a system of variational inclusions with -accretive operators.
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 nonconvex second order differential inclusions.
Existence of solutions for nonconvex third order differential inclusions.
Existence of solutions for nonlinear mixed type integrodifferential equation of second order.
Existence of solutions for semilinear differential equations with nonlocal conditions in Banach spaces.
Existence of solutions for some Hammerstein type integro-differential inclusions.
Existence of solutions for some nonlinear beam equations.
Existence of solutions of a functional-integral equation in infinite dimensional Banach spaces
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 th order impulsive integro-differential equations in Banach spaces.
Existence of solutions of the Darboux problem for partial differential equations in Banach spaces
Existence of weak solutions for nonlinear elliptic systems on .
Existence of weak solutions for nonlinear systems involving several -Laplacian operators.