On a class of functional differential equations having slowly varying solutions.
On a class of multitime evolution equations with nonlocal initial conditions.
On a class of non linear differential operators of first order with singular point.
On a fixed point theorem of Krasnosel'skii type and application to integral equations.
On a fixed point theorem of Krasnoselskii-Schaefer type.
On a mild solution of a semilinear functional-differential evolution nonlocal problem.
On a nonconvex boundary value problem for a first order multivalued differential system
We consider a boundary value problem for first order nonconvex differential inclusion and we obtain some existence results by using the set-valued contraction principle.
On a nonlinear fractional order differential inclusion.
On a nonlocal problem for fractional integrodifferential inclusions in Banach spaces
This paper investigates a class of fractional functional integrodifferential inclusions with nonlocal conditions in Banach spaces. The existence of mild solutions of these inclusions is determined under mixed continuity and Carathéodory conditions by using strongly continuous operator semigroups and Bohnenblust-Karlin's fixed point theorem.
On a Singular Value Problem for the Fractional Laplacian on the Exterior of the Unit Ball
2000 Mathematics Subject Classification: Primary 26A33; Secondary 47G20, 31B05We study a singular value problem and the boundary Harnack principle for the fractional Laplacian on the exterior of the unit ball.
On a time-dependent subdifferential evolution inclusion with Carathéodory perturbation
On an infinite-dimensional Hilbert space, we establish the existence of solutions for some evolution problems associated with time-dependent subdifferential operators whose perturbations are Carathéodory single-valued maps.
On contraction principle applied to nonlinear fractional differential equations with derivatives of order α ∈ (0,1)
One-term and multi-term fractional differential equations with a basic derivative of order α ∈ (0,1) are solved. The existence and uniqueness of the solution is proved by using the fixed point theorem and the equivalent norms designed for a given value of parameters and function space. The explicit form of the solution obeying the set of initial conditions is given.
On existence of extremal solutions of nonlinear functional integral equations in Banach algebras.
On existence of positive periodic solutions of a kind of Rayleigh equation with a deviating argument
The existence of positive periodic solutions for a kind of Rayleigh equation with a deviating argument is studied. Using the coincidence degree theory, some sufficient conditions on the existence of positive periodic solutions are obtained.
On four-point boundary value problems for differential inclusions and differential equations with and without multivalued moving constraints
We deal with the problems of four boundary points conditions for both differential inclusions and differential equations with and without moving constraints. Using a very recent result we prove existence of generalized solutions for some differential inclusions and some differential equations with moving constraints. The results obtained improve the recent results obtained by Papageorgiou and Ibrahim-Gomaa. Also by means of a rather different approach based on an existence theorem due to O. N. Ricceri...
On Mawhin's continuation principles.
On multiple sign-changing solutions for some second-order integral boundary value problems.
On noncompact perturbation of nonconvex sweeping process
We prove a theorem on the existence of solutions of a first order functional differential inclusion governed by a class of nonconvex sweeping process with a noncompact perturbation.
On nonconvex functional evolution inclusions involving -dissipative operators
On nonconvex valued Volterra integral inclusions in Banach spaces