Add to ORKGIn this paper we present an existence result for causal functional evolution equations. The result is obtained under a condition with respect to the Hausdorff measure of noncompactness. An application with partial differential equations is given to illustrate our main result
AbstractNonlinear nonautonomous functional differential equations of delay type with Lp-initial func...
AbstractConsider the abstract linear functional equation (FE) (Dx)(t) = f(t) (t ⩾ 0), x(t) = ϑ(t) (t...
We deal with the Cauchy problem for a class of evolution operators of Schr"odinger type. We find the...
Abstract: The aim of this paper is to established the existence of solutions and some properties of ...
We obtain some basic results on existence, uniqueness, and continuous dependence of solutions with r...
We obtain some basic results on existence, uniqueness, and continuous dependence of solutions with r...
This book presents an operator-theoretic approach to ill-posed evolution equations. It presents the ...
We study a class of differential inclusions involving maximal monotone relations, which cover a hug...
Abstract. We study the existence and stability of solutions for a class of nonlinear functional evol...
summary:The aim of this paper is to give an existence theorem for a semilinear equation of evolution...
This is a brief exposition of dynamic systems approaches that form the basis for linear implicit ev...
The aim of the paper is to prove two theorems on the existence and uniqueness of mild and classical ...
AbstractExistence and uniqueness of weak solutions to an abstract functional evolution equation are ...
AbstractOf concern is the functional evolution equation dudt∈Bu+F(t,ut),t>0,u0=φ(s)∈C1[−r,0];X, wher...
Abstract: This paper is concerned with double perturbed neutral functional evolution equations with ...
AbstractNonlinear nonautonomous functional differential equations of delay type with Lp-initial func...
AbstractConsider the abstract linear functional equation (FE) (Dx)(t) = f(t) (t ⩾ 0), x(t) = ϑ(t) (t...
We deal with the Cauchy problem for a class of evolution operators of Schr"odinger type. We find the...
Abstract: The aim of this paper is to established the existence of solutions and some properties of ...
We obtain some basic results on existence, uniqueness, and continuous dependence of solutions with r...
We obtain some basic results on existence, uniqueness, and continuous dependence of solutions with r...
This book presents an operator-theoretic approach to ill-posed evolution equations. It presents the ...
We study a class of differential inclusions involving maximal monotone relations, which cover a hug...
Abstract. We study the existence and stability of solutions for a class of nonlinear functional evol...
summary:The aim of this paper is to give an existence theorem for a semilinear equation of evolution...
This is a brief exposition of dynamic systems approaches that form the basis for linear implicit ev...
The aim of the paper is to prove two theorems on the existence and uniqueness of mild and classical ...
AbstractExistence and uniqueness of weak solutions to an abstract functional evolution equation are ...
AbstractOf concern is the functional evolution equation dudt∈Bu+F(t,ut),t>0,u0=φ(s)∈C1[−r,0];X, wher...
Abstract: This paper is concerned with double perturbed neutral functional evolution equations with ...
AbstractNonlinear nonautonomous functional differential equations of delay type with Lp-initial func...
AbstractConsider the abstract linear functional equation (FE) (Dx)(t) = f(t) (t ⩾ 0), x(t) = ϑ(t) (t...
We deal with the Cauchy problem for a class of evolution operators of Schr"odinger type. We find the...