Affiliation:
1. Department of Mathematics Creighton Preparatory School, Omaha, USA
Abstract
We consider the existence of a positive solution to the first-order dynamic
equation y?(t)+p(t)y?(t) = ?f (t, y?(t)), t?(a, b)T, subject to the
boundary condition y(a) = y(b) + ?T1,T2 F(s, y(s)) ?s for ?1,?2 ? [a,b]T.
In this setting, we allow f to take negative values for some (t; y). Our
results generalize some recent results for this class of problems, and
because we treat the problem on a general time scale T we provide new
results for this problem in the case of differential, difference, and
q-difference equations. We also provide some discussion of the applicability
of our results.
Publisher
National Library of Serbia
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Cited by
2 articles.
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