Expansion-compression fixed point theorem of Leggett-Williams type for the sum of two operators and applications for some classes of BVPs
DOI:
https://doi.org/10.24193/subbmath.2023.3.12Keywords:
Fixed point index, cone, sum of operators, expansion, compression, nonnegative solution.Abstract
The purpose of this work is to establish an extension of a Leggett- Williams type expansion-compression fixed point theorem for a sum of two operators. As illustration, our approach is applied to prove the existence of non-trivial, nonnegative solutions for two-point BVPs and three-point BVPs.
Mathematics Subject Classification (2010): 47H10, 47H08, 34B18.
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