Existence criteria for singular initial value problems with sign changing nonlinearities.
Existence of approximate solution to abstract nonlocal Cauchy problem.
Existence of convex and non convex local solutions for fractional differential inclusions.
Existence of four solutions of some nonlinear Hamiltonian system.
Existence of local and global solutions to some impulsive fractional differential equation.
Existence of mild solutions for semilinear equation of evolution
The aim of this paper is to give an existence theorem for a semilinear equation of evolution in the case when the generator of semigroup of operators depends on time parameter. The paper is a generalization of [2]. Basing on the notion of a measure of noncompactness in Banach space, we prove the existence of mild solutions of the equation considered. Additionally, the applicability of the results obtained to control theory is also shown. The main theorem of the paper allows to characterize the set...
Existence of mild solutions of a semilinear evolution differential inclusions with nonlocal conditions.
Existence of mild solutions on infinite intervals to first order initial value problems for a class of differential inclusions in banach spaces
In this paper we investigate the existence of mild solutions on an unbounded real interval to first order initial value problems for a class of differential inclusions in Banach spaces. We shall make use of a theorem of Ma, which is an extension to multivalued maps on locally convex topological spaces of Schaefer's theorem.
Existence of positive solution of a singular partial differential equation
Motivated by Vityuk and Golushkov (2004), using the Schauder Fixed Point Theorem and the Contraction Principle, we consider existence and uniqueness of positive solution of a singular partial fractional differential equation in a Banach space concerning with fractional derivative.
Existence of positive solutions for fractional differential equations with Riemann-Liouville left-hand and right-hand fractional derivatives.
Existence of solutions and convergence results for dynamic initial value problems using lower and upper solutions.
Existence of solutions for a class of nonconvex differential inclusions
Existence of solutions for differential inclusions on closed moving constraints in Banach spaces.
Existence of solutions of abstract fractional impulsive semilinear evolution equations.
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 dynamic Cauchy problem on infinite time scale intervals
In the paper, we prove the existence of solutions and Carathéodory’s type solutions of the dynamic Cauchy problem , t ∈ T, x(0) = x₀, where T denotes an unbounded time scale (a nonempty closed subset of R and such that there exists a sequence (xₙ) in T and xₙ → ∞) and f is continuous or satisfies Carathéodory’s conditions and some conditions expressed in terms of measures of noncompactness. The Sadovskii fixed point theorem and Ambrosetti’s lemma are used to prove the main result. The results presented...
Existence of solutions to quasilinear functional differential equations.
Existence results for differential equations in Banach spaces
This paper presents existence results for initial and boundary value problems for nonlinear differential equations in Banach spaces.
Existence results for impulsive dynamic inclusions on time scales.
Existence results for infinite dimensional differential equations without compactness