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On the existence of multiple solutions for a nonlinear wave equation

โœ Scribed by Norimichi Hirano


Book ID
107792142
Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
592 KB
Volume
71
Category
Article
ISSN
0022-0396

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๐Ÿ“œ SIMILAR VOLUMES


Existence of multiple weak solutions for
โœ Mieko Tanaka ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 260 KB

We consider the problem of multiple existence of 2 -periodic weak solutions to wave equations u(x, t)= h(x, t, u(x, t))+f (x, t) of space dimension 1, where h(x, t, ) is asymptotically linear in both as โ†’ 0 and as | | โ†’ โˆž. It is shown by variational methods that there exist at least three solutions