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Dynamic equations on time scales: a survey
(Elsevier BV, 2002-04-01)
Eigenvalues and the one-dimensional p-laplacian
(Elsevier BV, 2002-02-01)
Solutions of a system of integral equations in orlicz spaces
(Rocky Mountain Mathematics Consortium, 2009-12-01)
We consider the following system of integral equations
u(i)(t) = integral(1)(0) g(i)(t, s)f(i) (s, u(1)(s), u(2)(s),...,u(n)(s)) ds,
a.e. t is an element of [0,1]. 1 <= i <= n.
Our aim is to establish criteria ...
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 ...