Existence of positive solutions for a class of BVPs in Banach spaces
2021 ◽
Vol 66
(4)
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pp. 723-738
Keyword(s):
In this work, we use index xed point theory for perturbation of expan- sive mappings by l-set contractions to study the existence of bounded positive solutions for a class of two-point boundary value problem (BVP) associated to second-order nonlinear di erential equation on the positive half-line. The nonlin- earity, which may exhibit a singularity at the origin, is written as a sum of two functions which behave di erently. These functions, depend on the solution and its derivative, take values in a general Banach space and have at most polynomial growth. An example to illustrate the main results is given.
2015 ◽
Vol 50
(1-2)
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pp. 139-155
2011 ◽
Vol 2
(1)
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pp. 28-33
2007 ◽
Vol 190
(2)
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pp. 1417-1431
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