Author:
Venkatesulu M.,Bhaskar T. Gnana
Abstract
AbstractTwo different ordinary differential operators L1 and L2 (not of the same order) defined on two adjacent intervals I1 and I2, respectively, with certain mixed conditions at the interface are considered. These problems are encountered in the study of ‘acoustic waveguides in ocean’, ‘transverse vibrations in nonhomogeneous strings’, etc. A complete set of physical conditions on the system give rise to three types of (selfadjoint) boundary value problems associated with the pair (L1, L2). In a series of papers, a systematic study of these new classes of problems is being developed. In the present paper, we construct the fundamental systems and exhibit the forms of solutions of nonhomogeneous problems associated with the pair (L1, L2).
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics,Statistics and Probability
Reference7 articles.
1. [7] Venkatesulu M. and Bhaskar T. Gnana , ‘Selfadjoint boundary value problems associated with a pair of mixed linear ordinary differential equations’, J. Math. Anal. Appl. (to appear).
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献