Triple fixed-sign solutions in modelling a system with Hermite boundary conditions | Zendy

Patricia J. Y. Wong | Zendy; Yeng Chai Soh | Zendy

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Triple fixed-sign solutions in modelling a system with Hermite boundary conditions

Author(s) -

Patricia J. Y. Wong,

Yeng Chai Soh

Publication year - 2005

Publication title -

journal of inequalities and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.735

H-Index - 50

eISSN - 1029-242X

pISSN - 1025-5834

DOI - 10.1155/jia.2005.363

Subject(s) - mathematics , hermite polynomials , fixed point , sign (mathematics) , boundary value problem , interval (graph theory) , mathematical analysis , boundary (topology) , fixed point theorem , differential equation , fixed point index , pure mathematics , combinatorics

We consider the following system of differential equations Open image in new window , Open image in new window , Open image in new window together with Hermite boundary conditions Open image in new window , Open image in new window , Open image in new window , Open image in new window , where Open image in new window , Open image in new window for Open image in new window , and Open image in new window . By using different fixed point theorems, we offer criteria for the existence of three solutions of the system which are of "prescribed signs" on the interval Open image in new window .

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