Positive solutions of singular multipoint boundary value problems for systems of nonlinear second-order differential equations on infinite intervals in Banach spaces.
Power Series Solutions of Algebraic Differential Equations.
Problems without initial conditions for degenerate implicit evolution equations.
Properties of the solution of evolution inclusions driven by time dependent subdifferentials
In this paper we consider evolution inclusions driven by a time-dependent subdifferential. First we prove a relaxation result and then we use it to show that if the solution set is closed in a space of continuous functions, then the orientor field is almost everywhere convex valued.
Pseudo almost periodic and automorphic mild solutions to nonautonomous neutral partial evolution equations
In this work, we present a new concept of Stepanov weighted pseudo almost periodic and automorphic functions which is more generale than the classical one, and we obtain a new existence result of μ-pseudo almost periodic and μ-pseudo almost automorphic mild solutions for some nonautonomous evolution equations with Stepanov μ-pseudo almost periodic terms. An example is shown to illustrate our results.
Quasilinear elliptic equations with arbitrary growth nonlinearity and data measures.
The purpose of this note is to study existence of weak solutions for the quasilinear elliptic problem with Dirichlet boundary conditions.
Quasilinearization for the periodic boundary value problem for hybrid differential equation
The method of quasilinearization for a periodic boundary value problem for nonlinear hybrid differential equations is studied. It is shown that the convergence is quadratic.
Random functional-differential inclusions with nonconvex right-hand side in a Banach space
Regularity of solutions of Sobolev type semilinear integrodifferential equations in Banach spaces.
Regularity of the solutions of second order evolution equations and their attractors
Regularization for evolution equations in Hilbert spaces involving monotone operators via the semi-flows method.
Relationship between different types of stability for linear almost periodic systems in Banach spaces.
Remarks concerning J. Witte's theorem and its applications
Remarks on existence of positive solutions of some integral equations
We study the existence of positive solutions of the integral equation in both and spaces, where and . Throughout this paper is nonnegative but the nonlinearity may take negative values. The Krasnosielski fixed point theorem on cone is used.
Second order Cauchy problem with a damping operator.
Second order differential inequalities in Banach spaces
We derive monotonicity results for solutions of ordinary differential inequalities of second order in ordered normed spaces with respect to the boundary values. As a consequence, we get an existence theorem for the Dirichlet boundary value problem by means of a variant of Tarski's Fixed Point Theorem.
Semiclassical states for weakly coupled nonlinear Schrödinger systems
We consider systems of weakly coupled Schrödinger equations with nonconstant potentials and investigate the existence of nontrivial nonnegative solutions which concentrate around local minima of the potentials. We obtain sufficient and necessary conditions for a sequence of least energy solutions to concentrate.
Semigroup structure underlying evolutions.
Semilinear evolution equations of the parabolic type
This paper is devoted to the investigation of the abstract semilinear initial value problem du/dt + A(t)u = f(t,u), u(0) = u₀, in the "parabolic" case.
Semilinear fractional order integro-differential equations with infinite delay in Banach spaces
This paper concerns the existence of mild solutions for fractional order integro-differential equations with infinite delay. Our analysis is based on the technique of Kuratowski’s measure of noncompactness and Mönch’s fixed point theorem. An example to illustrate the applications of main results is given.