Existence of extremal solutions and comparison results for delay differential equations in abstract cones
Existence of extremal solutions of a three-point boundary value problem for a general second order -Laplacian integro-differential equation.
Existence of flat tori in analytic manifolds of nonpositive curvature
Existence of four solutions of some nonlinear Hamiltonian system.
Existence of global solutions for impulsive functional differential equations with nonlocal conditions.
Existence of global solutions for systems of second-order differential equations with -Laplacian.
Existence of global solutions for systems of second-order functional-differential equations with -Laplacian.
Existence of global solutions to differential inclusions; a priori bounds
The paper presents an existence result for global solutions to the finite dimensional differential inclusion being defined on a closed set A priori bounds for such solutions are provided.
Existence of limit cycles in a predator-prey system with a functional response.
Existence of local and global solutions to some impulsive fractional differential equation.
Existence of maximal and minimal solutions to a boundary value problem for the equation of the bending of an elastic beam.
Existence of meromorphic solutions of algebraic differential equations.
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 of second-order neutral functional differential inclusions with nonlocal conditions in Banach spaces.