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It is obvious that if the conditions of Theorem 2 are fulfilled, then the local solvability of problem (1), (2) guarantees its global solvability.. Therefore if the conditions
Based on the Schauder type estimates, under some assumptions on the mobility and terms of lower order, we establish the global existence of classical
In the present study, using the characterizations of measures of noncompactness we prove a theorem on the existence and local asymptotic stability of solutions for a
This article presents the results on existence, uniqueness and stability of mild solu- tions of impulsive stochastic semilinear neutral functional differential equations without
Avery, Henderson, and O’Regan [1], in a dual of the Leggett-Williams fixed point theorem, gave conditions which guaranteed the existence of a fixed point for a completely continuous
We first establish the global stability of the trivial and nontrivial constant steady states for the reaction diffusion system, and then prove the existence and non-existence
Abstract In this paper, we investigate the existence of infinitely many solutions for a class of biharmonic equations where the nonlinearity involves a combination of superlinear
The results of a Monte Carlo experiment show that imposing the curvature conditions on a system of demand equations improves the MSEs on estimated elasticities from 3 to 50%
