AbstractA criterion for the nonexplosion of solutions to semilinear evolution equations on Banach spaces is proved. The result is obtained by applying a modification of the Bihari type inequality to the case of a weakly singular nonlinear integral inequality
AbstractIn this paper, we study the global existence of solutions for semilinear evolution equations...
In this paper we prove the existence of a mild solution for a semilinear evolution differential inc...
AbstractExistence of mild solutions to semilinear neutral evolution equations with nonlocal conditio...
AbstractExistence of mild solutions to semilinear neutral evolution equations with nonlocal conditio...
AbstractWe prove the global existence (in time) for any solution of an abstract semilinear evolution...
summary:The aim of this paper is to give an existence theorem for a semilinear equation of evolution...
summary:We prove global existence and stability results for a semilinear parabolic equation, a semil...
AbstractThe aim of this paper is to give three theorems about the existence and uniqueness of mild, ...
AbstractWe study the evolution equation u′(t) = Au(t) + J(u(t)), t ⩾ 0, where etA is a C0 semi-group...
In this paper, we study the approximate solutions, uniqueness and other properties of solutions of f...
AbstractIn this paper we consider the question of the long time behavior of solutions of the initial...
AbstractSufficient conditions on the existence of mild solutions for the following semilinear nonloc...
In this paper we consider the questions of existence and uniqueness of solutions of certain semiline...
Abstract. Let X be a real Banach space, let A: D(A) ⊂ X → X be the generator of a (C0)-contraction ...
A general framework is presented to discuss the approximate solutions of an evolution equation in a...
AbstractIn this paper, we study the global existence of solutions for semilinear evolution equations...
In this paper we prove the existence of a mild solution for a semilinear evolution differential inc...
AbstractExistence of mild solutions to semilinear neutral evolution equations with nonlocal conditio...
AbstractExistence of mild solutions to semilinear neutral evolution equations with nonlocal conditio...
AbstractWe prove the global existence (in time) for any solution of an abstract semilinear evolution...
summary:The aim of this paper is to give an existence theorem for a semilinear equation of evolution...
summary:We prove global existence and stability results for a semilinear parabolic equation, a semil...
AbstractThe aim of this paper is to give three theorems about the existence and uniqueness of mild, ...
AbstractWe study the evolution equation u′(t) = Au(t) + J(u(t)), t ⩾ 0, where etA is a C0 semi-group...
In this paper, we study the approximate solutions, uniqueness and other properties of solutions of f...
AbstractIn this paper we consider the question of the long time behavior of solutions of the initial...
AbstractSufficient conditions on the existence of mild solutions for the following semilinear nonloc...
In this paper we consider the questions of existence and uniqueness of solutions of certain semiline...
Abstract. Let X be a real Banach space, let A: D(A) ⊂ X → X be the generator of a (C0)-contraction ...
A general framework is presented to discuss the approximate solutions of an evolution equation in a...
AbstractIn this paper, we study the global existence of solutions for semilinear evolution equations...
In this paper we prove the existence of a mild solution for a semilinear evolution differential inc...
AbstractExistence of mild solutions to semilinear neutral evolution equations with nonlocal conditio...
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