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Positive solutions and eigenvalue intervals for nonlinear systems

✍ Scribed by Jifeng Chu; Donal O’regan; Meirong Zhang

Book ID
107589215
Publisher
Indian Academy of Sciences
Year
2007
Tongue
English
Weight
222 KB
Volume
117
Category
Article
ISSN
0253-4142

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📜 SIMILAR VOLUMES

Positive periodic solutions and eigenval
Positive periodic solutions and eigenvalue intervals for systems of second order differential equations
✍ Jifeng Chu; Hao Chen; Donal O'Regan 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 117 KB

## Abstract In this paper, we employ a well‐known fixed point theorem for cones to study the existence of positive periodic solutions to the __n__ ‐dimensional system __x__ ″ + __A__ (__t__)__x__ = __H__ (__t__)__G__ (__x__). Moreover, the eigenvalue intervals for __x__ ″ + __A__ (__t__)__x__ = __λ

Positive solutions and nonlinear eigenva
Positive solutions and nonlinear eigenvalue problems for functional differential equations
✍ J. Henderson; W. Yin 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 284 KB

Values of A are determined for which there exist positive solutions of the nth-order functional differential equation, (-1)n-ku(n)(t) = Aa(t)f(ut), 0 < t < 1, satisfying the initial condition, u(s) = ¢(s), -r < s < 0, and satisfying the boundary conditions, u(1)(0) = 0, 0 < i < k -1, and uU)(1) = 0,