Existence for Two-Point nth Order Boundary Value Problems under Barrier Strips

Author:

Agarwal Ravi P.1ORCID,Todorov Todor Z.2,Kelevedjiev Petio S.3

Affiliation:

1. Department of Mathematics, Texas A and M University, Kingsville, TX 78363, USA

2. Department of Electrical Engineering, Electronics and Automation, Faculty of Engineering and Pedagogy of Sliven, Technical University of Sofia, 8800 Sliven, Bulgaria

3. Department of Qualification and Professional Development of Teachers of Sliven, Technical University of Sofia, 8800 Sliven, Bulgaria

Abstract

Using barrier strip conditions, we study the solvability of two-point boundary value problems for the equation x(n)=f(t,x,x′,…,x(n−1)). In the case n=4, we apply the used approach to obtain results guaranteeing positive or non-negative, monotone, convex solutions to boundary value problems with various boundary conditions.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Reference13 articles.

1. AL-Zaid, N., AL-Refaidi, A., Bakodah, H., and AL-Mazmumy, M. (2022). Solution of second- and higher-order nonlinear two-point boundary-value problems using duble decomposition method. Mathematics, 10.

2. Two-point boundary value problems for ordinary differential equations, uniqueness implies existence;Eloe;Proc. Amer. Math. Soc.,2020

3. Positive solutions of boundary value problems for nth order ordinary differential equations;Electron. J. Qual. Theory Differ. Equ.,2008

4. Granas, A., Guenther, R.B., and Lee, J.W. (1985). Nonlinear Boundary Value Problems for Ordinary Differential Equations, Instytut Matematyczny Polskiej Akademi Nauk.

5. Positive solutions of nth-order boundary value problems with integral boundary conditions;Karaca;Math. Model. Anal.,2015

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