Existence of solutions of a functional-integral equation in infinite dimensional Banach spaces
Existence of solutions of a nonlocal boundary value problem.
Existence of solutions of a second order abstract functional Cauchy problem with nonlocal conditions
We establish the existence of mild, strong, classical solutions for a class of second order abstract functional differential equations with nonlocal conditions.
Existence of solutions of abstract fractional impulsive semilinear evolution equations.
Existence of solutions of boundary value problems for functional differential equations.
Existence of solutions of functional differential inclusions.
Existence of solutions of functional-differential equations
Existence of solutions of functional-differential inclusion in nonconvex case
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 impulsive boundary value problems for singular fractional differential systems
A class of impulsive boundary value problems of fractional differential systems is studied. Banach spaces are constructed and nonlinear operators defined on these Banach spaces. Sufficient conditions are given for the existence of solutions of this class of impulsive boundary value problems for singular fractional differential systems in which odd homeomorphism operators (Definition 2.6) are involved. Main results are Theorem 4.1 and Corollary 4.2. The analysis relies on a well known fixed point...
Existence of solutions of periodic boundary value problems for impulsive functional Duffing equations at nonresonance case.
Existence of solutions of perturbed O.D.E.'s in Banach spaces
We consider a perturbed Cauchy problem like the following and we present two results showing that (PCP) has a solution. In some cases, our theorems are more general than the previous ones obtained by other authors (see [4], [8], [9], [11], [13], [17], [18]).
Existence of solutions of second order boundary value problems with integral boundary conditions and singularities.
Existence of solutions of the Darboux problem for partial differential equations in Banach spaces
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 a Hamiltonian system without convexity condition on the nonlinearity.
Existence of solutions to a nonlocal boundary value problem with nonlinear growth.
Existence of solutions to a paratingent equation with delayed argument.
Existence of solutions to a second order partial differential equation with nonlocal conditions.
Existence of solutions to a third-order multi-point problem on time scales.