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Multiple Solutions and Eigenvalues for Third-Order Right Focal Boundary Value Problems

✍ Scribed by Douglas R Anderson; John M Davis

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
155 KB
Volume
267
Category
Article
ISSN
0022-247X

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✦ Synopsis

with the same boundary conditions. Under various assumptions on f , a, and Ξ» we establish intervals of the parameter Ξ» which yield the existence of a positive solution of the eigenvalue problem. By placing certain restrictions on the nonlinearity, we prove the existence of at least one, at least two, at least three, and infinitely many positive solutions of the boundary value problem by applying some known fixedpoint theorems as well as some recent generalizations of these fixed-point theorems.

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