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Positive solutions and nonlinear eigenvalue problems for third-order difference equations

โœ Scribed by R.P. Agarwal; J. Henderson

Book ID
108459838
Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
418 KB
Volume
36
Category
Article
ISSN
0898-1221

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๐Ÿ“œ SIMILAR VOLUMES

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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) = ยข(s), -r < s < 0, and satisfying the boundary conditions, u(1)(0) = 0, 0 < i < k -1, and uU)(1) = 0,

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Necessary and sufficient conditions are obtained for existence of positive solutions of a nonlinear difference equation. Relations between this equation and an advanced type nonlinear difference equation are also discussed.