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Controllability of nonlinear delay oscillating systems
(University of Szeged, 2017-01-01)
In this paper, we study the controllability of a system governed by second order delay differential equations. We introduce a delay Gramian matrix involving the delayed matrix sine, which is used to establish sufficient ...
Existence results of brezis-browder type for systems of fredholm integral equations
(Springer Nature, 2011-01-01)
In this article, we consider the following systems of Fredholm integral equations:
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Using an argument originating from Brezis and Browder [Bull. Am. Math. Soc. 81, 73-78 (1975)] and a fixed point theorem, we ...
Fixed point theorems for convex-power condensing operators relative to the weak topology and appli- cations to volterra integral equations
(Rocky Mountain Mathematics Consortium, 2012-06-01)
In this paper we present new fixed point theorems for weakly sequentially continuous mappings which are convex-power condensing relative to a measure of weak noncompactness. Our fixed point results extend and improve several ...
Singular integral equations and applications to nonlinear conjugate problems
(The Mathematical Society of the Republic of China, 2010-04-01)
In this paper, we establish the existence of multiple positive solutions for singular integral equations. The proof is based on a general existence principle established using a nonlinear alternative principle of Leray-Schauder ...