Existence of solutions of higher order Sturm-Liouville boundary value problems

Autor: Patricia J. Y. Wong
Přispěvatelé: School of Electrical and Electronic Engineering, International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2016)
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Popis: We consider a higher order Sturm-Liouville boundary value problem (BVP) where the nonlinear term involves derivatives – such cases are seldom investigated in the literature due to the complexity introduced by the derivatives. A new technique is used to obtain existence criteria for at least one positive solution of the BVP. We demonstrate the usefulness of the results obtained by an example with known positive solutions.We consider a higher order Sturm-Liouville boundary value problem (BVP) where the nonlinear term involves derivatives – such cases are seldom investigated in the literature due to the complexity introduced by the derivatives. A new technique is used to obtain existence criteria for at least one positive solution of the BVP. We demonstrate the usefulness of the results obtained by an example with known positive solutions.
Databáze: OpenAIRE