Multiple solutions of a Sturm-Liouville boundary value problem of nonlinear differential inclusion with nonlocal integral conditions-Reference-Cited by-同舟云学术

Multiple solutions of a Sturm-Liouville boundary value problem of nonlinear differential inclusion with nonlocal integral conditions

Published:2022 Issue:6 Volume:7 Page:11150-11164
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

El-Sayed Ahmed M.A.¹,Hamdallah Eman M.A.¹,Alama Hameda M. A.²

Affiliation:

1. Faculty of Science, Alexandria University, Alexandria 21544, Egypt

2. Faculty of Science, Al-Mergib University, 40414, Libya

Abstract

<abstract><p>The existence of solutions for a Sturm-Liouville boundary value problem of a nonlinear differential inclusion with nonlocal integral condition is studied. The maximal and minimal solutions will be studied. The existence of multiple solutions of the nonhomogeneous Sturm-Liouville boundary value problem of differential equation with nonlocal integral condition is considered. The eigenvalues and eigenfunctions are investigated.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference15 articles.

1. J. P. Aubin, A. Cellina, Differential Inclusions: Set-Valued Maps and Viability Theory, vol. 264, Springer, Berlin, 2012.

2. A. V. Bitsadze, A. A. Samarskii, Some elementary generalizations of linear elliptic boundary value problems, Dokl. Akad. Nauk, 185 (1969), 739–740.

3. K. Bingele, A. Bankauskiene, A. Štikonas, Investigation of Spectrum Curves for a Sturm–Liouville problem with Two-Point Nonlocal Boundary Conditions, Math. Model. Anal., 25 (2020), 53–70. https://doi.org/10.3846/mma.2020.10787

4. R. F. Curtain, A. J. Pritchard, Functional analysis in modern appliedmathematics, Academic press, 1977.

5. A. M. A. El-Sayed, A. G. Ibrahim, Multivalued fractional differential equations, Appl. Math. Comput., 68 (1995), 15–50. https://doi.org/10.1016/0096-3003(94)00080-N