IMAGA, OGBU FAMOUS and Covenant University, Theses (2021) SOLVABILITY OF SOME THIRD-ORDER BOUNDARY VALUE PROBLEMS AT RESONANCE WITH TWO DIMENSIONAL KERNELS ON THE HALF-LINE. ["eprint_fieldopt_thesis_type_phd" not defined] thesis, COVENANT UNIVERSITY.
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Abstract
This research work considered the solvability for some resonant third order boundary value problems (BVPs) with integral and multi-point boundary conditions on the halfline when the differential operators have two-dimensional kernels. Problems where the differential operator is linear and problems where the differential operator is nonlinear as a result of the presence of the p-Laplacian operator were considered. For problems where the differential operator is linear, the coincidence degree theory of Mawhin was applied while for the nonlinear p-Laplacian operator, the Ge and Ren extension of the coincidence degree theory was applied. Conditions for the existence of solutions for the problems were proved using suitable operators like semi-projectors and algebraic methods. Examples were used to demonstrate the obtained results.
| Item Type: | Thesis (["eprint_fieldopt_thesis_type_phd" not defined]) |
|---|---|
| Uncontrolled Keywords: | Coincidence degree, half-line, integral boundary conditions, multi-point boundary conditions, p-Laplacian, resonance. |
| Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics |
| Divisions: | Faculty of Engineering, Science and Mathematics > School of Mathematics |
| Depositing User: | Mrs Hannah Akinwumi |
| Date Deposited: | 14 Dec 2021 12:00 |
| Last Modified: | 14 Dec 2021 12:00 |
| URI: | http://eprints.covenantuniversity.edu.ng/id/eprint/15542 |
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