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Elementary variational approach to zero-free solutions of a nonlinear eigenvalue problem

✍ Scribed by Gen-qiang Wang; Sui Sun Cheng


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
306 KB
Volume
69
Category
Article
ISSN
0362-546X

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✦ Synopsis


A variational approach is employed for obtaining zero-free solutions of a nonlinear eigenvalue problem that appears in several recent studies. Our proofs are elementary but our results are sharp and yield corrections to several existing assertions in the literature.


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## Abstract The present paper deals with the theoretical and numerical treatment of dynamic unilateral problems. The governing equations are formulated as an equivalent variational inequality expressing D' Alembert's principle in its inequality form. The discretization with respect to time and spac