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A new gap function for vector variational inequalities with an application
(Hindawi Limited, 2013-01-01)
We consider a vector variational inequality in a finite-dimensional space. A new gap function is proposed, and an equivalent optimization problem for the vector variational inequality is also provided. Under some suitable ...
Three solutions to a class of neumann doubly eigenvalue elliptic systems driven by a (p1,...,pn)-laplacian
(The Korean Mathematical Society, 2010-11-30)
In this paper we establish the existence of at least three weak solutions for Neumann doubly eigenvalue elliptic systems driven by a (P-1, ... , p(n))-Laplacian. Our main tool is a recent three critical points theorem of ...
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 of solutions for a fourth-order boundary value problem on the half-line via critical point theory
(University of Szeged, 2016-01-01)
In this paper, a fourth-order boundary value problem on the half-line is considered and existence of solutions is proved using a minimization principle and the mountain pass theorem.
Fixed point theorems for ws-compact mappings in banach spaces
(Springer Nature, 2010-01-01)
We present new fixed point theorems for ws-compact operators. Our fixed point results are obtained under Sadovskii, Leray-Schauder, Rothe, Altman, Petryshyn, and Furi-Pera type conditions. An example is given to show the ...
Positive solutions of singular complementary lidstone boundary value problems
(Springer Nature, 2010-01-01)
We investigate the existence of positive solutions of singular problem (-1)(m)x((2m+1)) = f(t, x, ..., x((2m))), x(0) = 0, x((2i-1))(0) = x((2i-1))(T) = 0, 1 <= i <= m. Here, m >= 1 and the Caratheodory ...
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 ...
Inclusion and intersection theorems with applications in equilibrium theory in g-convex spaces
(The Korean Mathematical Society, 2010-09-01)
In this paper we obtain a very general theorem of rho-compatibility for three multivalued mappings, one of them from the class B. More exactly, we show that given a G-convex space Y, two topological spaces X and Z, a ...
Measures of noncompactness and asymptotic stability of solutions of a quadratic hammerstein integral equation
(Rocky Mountain Mathematics Consortium, 2011-12-01)
In this paper we consider the existence of asymptotically stable solutions of a quadratic Hammerstein integral equation. This equation is investigated in the space of real functions defined, bounded and continuous on the ...