Existence and uniqueness of solutions for nonlinear alternative problems in a Banach space
Existence and uniqueness of solutions to a semilinear functional-differential evolution nonlocal Cauchy problem.
Existence and uniqueness theorem for a solution of fuzzy differential equations.
Existence for implicit differential equations in Banach spaces
We prove two existence results on abstract differential equations of the type and we give some applications of them to partial differential equations.
Existence of approximate solution to abstract nonlocal Cauchy problem.
Existence of convex and non convex local solutions for fractional differential inclusions.
Existence of extremal periodic solutions for nonlinear evolution inclusions
We consider a nonlinear evolution inclusion defined in the abstract framework of an evolution triple of spaces and we look for extremal periodic solutions. The nonlinear operator is only pseudomonotone coercive. Our approach is based on techniques of multivalued analysis and on the theory of operators of monotone-type. An example of a parabolic distributed parameter system is also presented.
Existence of mild solutions for fractional evolution equations with nonlocal initial conditions
This paper discusses the existence of mild solutions for a class of semilinear fractional evolution equations with nonlocal initial conditions in an arbitrary Banach space. We assume that the linear part generates an equicontinuous semigroup, and the nonlinear part satisfies noncompactness measure conditions and appropriate growth conditions. An example to illustrate the applications of the abstract result is also given.
Existence of mild solutions for quasilinear integrodifferential equations with impulsive conditions.
Existence of mild solutions for semilinear differential equations with nonlocal and impulsive conditions
This paper is concerned with the existence of mild solutions for impulsive semilinear differential equations with nonlocal conditions. Using the technique of measures of noncompactness in Banach and Fréchet spaces of piecewise continuous functions, existence results are obtained both on bounded and unbounded intervals, when the impulsive functions and the nonlocal item are not compact in the space of piecewise continuous functions but they are continuous and Lipschitzian with respect to some measure...
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 of a semilinear nonconvex differential inclusion with nonlocal conditions
Existence of mild solutions of second order initial value problems for delay integrodifferential inclusions with nonlocal conditions
In this paper we investigate the existence of mild solutions to second order initial value problems for a class of delay integrodifferential inclusions with nonlocal conditions. We rely on a fixed point theorem for condensing maps due to Martelli.
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 mild solutions on semiinfinite interval for first order differential equation with nonlocal condition
In this paper we investigate the existence of mild solutions defined on a semiinfinite interval for initial value problems for a differential equation with a nonlocal condition. The results is based on the Schauder-Tychonoff fixed point theorem and rely on a priori bounds on solutions.
Existence of mild solutions to semilinear evolution inclusions with nonlocal conditions.
Existence of periodic solutions for a class of nonlinear evolution equations.
Existence of pseudo-almost automorphic mild solutions to some nonautonomous partial evolution equations.
Existence of -almost periodic solutions to a class of nonautonomous stochastic evolution equations.