Existence results for a class of semi-linear evolution 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 first order impulsive semilinear evolution inclusions.
Existence results for impulsive semilinear damped differential inclusions.
Existence results for impulsive systems with nonlocal conditions in Banach spaces.
Existence results for infinite dimensional differential equations without compactness
Existence results for multivalued semilinear functional differential equations.
This note is concerned with the existence of mild solutions defined on a compact real interval for first and second order semilinear functional differential inclusions.
Existence results for neutral functional-differential and integrodifferential inclusions in Banach spaces.
Existence theorems for a second order -point boundary value problem at resonance.
Exponential stability for abstract linear autonomous functional differential equations with infinite delay.
Extremal solutions to a class of multivalued integral equations in Banach space.
First-order differential equations of the hyperbolic type.
Functional differential equations with nonlocal initial conditions.
Functional-differential equations with Riemann-Liouville integrals in the nonlinearities
A sufficient condition for the nonexistence of blowing-up solutions to evolution functional-differential equations in Banach spaces with the Riemann-Liouville integrals in their right-hand sides is proved. The linear part of such type of equations is an infinitesimal generator of a strongly continuous semigroup of linear bounded operators. The proof of the main result is based on a desingularization method applied by the author in his papers on integral inequalities with weakly singular kernels....
Galerkin approximations for nonlinear evolution inclusions
In this paper we study the convergence properties of the Galerkin approximations to a nonlinear, nonautonomous evolution inclusion and use them to determine the structural properties of the solution set and establish the existence of periodic solutions. An example of a multivalued parabolic p.d.ei̇s also worked out in detail.
Generalized Boundary Value Problems for Nonlinear Fractional Langevin Equations
In this paper, generalized boundary value problems for nonlinear fractional Langevin equations is studied. Some new existence results of solutions in the balls with different radius are obtained when the nonlinear term satisfies nonlinear Lipschitz and linear growth conditions. Finally, two examples are given to illustrate the results.
Generation theory for semigroups of holomorphic mappings in Banach spaces.
Ghizzetti's theorem for piecewise continuous solutions.
Global attractors of non-autonomous quasi-homogeneous dynamical systems.
Global existence results for second order neutral functional differential equation with state-dependent delay
Our aim in this work is to provide sufficient conditions for the existence of global solutions of second order neutral functional differential equation with state-dependent delay. We use the semigroup theory and Schauder's fixed point theorem.