A necessary and sufficient condition for the existence of positive solutions to singular boundary-value problems of higher order differential equations
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Date
2006-01-19
Authors
Zhao, Chenglong
Yuan, Yanyan
Liu, Yansheng
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
By constructing some special cones and using fixed point theorem of cone expansion and compression, this paper presents some necessary and sufficient conditions for the existence of C4n-2 positive solutions to a class of singular boundary-value problems. Some examples are presented to illustrate our main results.
Description
Keywords
Singular sublinear boundary-value problem, Positive solution, Fixed point theorem, Cone, Higher order differential equation
Citation
Zhao, C., Yuan, Y., & Liu, Y. (2006). A necessary and sufficient condition for the existence of positive solutions to singular boundary-value problems of higher order differential equations. <i>Electronic Journal of Differential Equations, 2006</i>(08), pp. 1-19.