Closed-Form Solutions of Linear Ordinary Differential Equations with General Boundary Conditions

Axioms

Stefanos Zaoutsos¹  Ioannis Faraslis²  Efthimios Providas² 

[1] Department of Energy Systems, Gaiopolis Campus, University of Thessaly, 415 00 Larissa, Greece;Department of Environmental Sciences, Gaiopolis Campus, University of Thessaly, 415 00 Larissa, Greece;

关键词: differential equations;    differential operators;    non-local boundary value problems;    general conditions;    integral conditions;    multipoint conditions;   

DOI  :  10.3390/axioms10030226

来源: DOAJ

【 摘 要 】

This paper deals with the solution of boundary value problems for ordinary differential equations with general boundary conditions. We obtain closed-form solutions in a symbolic form of problems with the general n-th order differential operator, as well as the composition of linear operators. The method is based on the theory of the extensions of linear operators in Banach spaces.

【 授权许可】

Unknown