Solving multipoint boundary value problem for interval - valued second order differential equations under generalized Hukuhara derivatives
N. D. Phu, N. N. Hung
Faculty of Mathematics and Computer Science, VNU Ho Chi Minh City, Vietnam
Received on September 14, 2015
Accepted on September 13, 2016
Communicated by Mouffak Benchohra
| Abstract. In this paper we discuss some multipoint boundary value problems (MBVPs) forinterval-valued second-order differential equations (ISDEs) under generalized Hukuhara differen- tiability. Furthermore, we describe an algorithm for solving such MBVPs in KC(R) using the Hukuhara differentiability method and the real Green’s function method. Some examples and computer simulations illustrating our approach are also given. | |
| Keywords: | Generalized Hukuhara derivatives; Interval-valued second order differential equations; Multipoint boundary value problems; Real Green's function method.. |
| 2010 Mathematics Subject Classification: 34G10, 58C05, 58C06, 60H10. | |