Existence of Positive Solution for the Eighth-Order Boundary Value Problem Using Classical Version of Leray–Schauder Alternative Fixed Point Theorem
Thenmozhi ShanmugamDepartment of Mathematics, Bharathidasan University, Tiruchirappalli 620 024, Tamilnadu, IndiaMarudai MuthiahDepartment of Mathematics, Bharathidasan University, Tiruchirappalli 620 024, Tamilnadu, IndiaStojan RadenovićFaculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 758 307, Vietnam
2019en
ABI
Abstract
In this work, we investigate the existence of solutions for the particular type of the eighth-order boundary value problem. We prove our results using classical version of Leray–Schauder nonlinear alternative fixed point theorem. Also we produce a few examples to illustrate our results.
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