Abstract
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.
Highlights
Differential equations model numerous phenomena and processes in sciences and engineering
Boundary value problems for elementary differential equations with classical boundary conditions have been studied exhaustively by many researchers and comprehensive material is included in various standard texts
Ordinary differential equations with non-local boundary conditions were first studied at the beginning of the 20th century in [2,3,4], and later in [5]
Summary
Differential equations model numerous phenomena and processes in sciences and engineering. Ordinary differential equations with non-local boundary conditions were first studied at the beginning of the 20th century in [2,3,4], and later in [5]. A description of the theory and the different directions of differential equations with non-local boundary conditions are given in the monograph [12]. Boundary value problems with multipoint and integral conditions have been studied in [26,27,28,29,30,31,32], and others. The present paper aims at providing a framework for symbolic computations for the solution of linear ordinary differential equations of order n with the most general multipoint and integral conditions, and boundary value problems for powers and products of differential operators.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
