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Now showing items 11-15 of 15
Resonant singular boundary value problems
(Rocky Mountain Mathematics Consortium, 1995-12-01)
Existence theory is developed for the ''resonant'' singular problem (1/(pq))(py')' + lambda(0)y = f(t,y,py') almost everywhere on [0, 1] with lim(t-->0+) p(t)y'(t) = ay(1) + blim(t-->1-) p(t)y'(t) = 0. Here lambda(0) ...
Compression–expansion fixed point theorem in two norms and applications
(Elsevier BV, 2005-09-01)
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 ...