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First boundary-value problem for a class of equations with nonnegative characteristic form

โœ Scribed by V. A. Malovichko


Book ID
112480019
Publisher
Springer
Year
1980
Tongue
English
Weight
291 KB
Volume
32
Category
Article
ISSN
0041-5995

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Instability of nonnegative solutions for
โœ C. Maya; R. Shivaji ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 171 KB

We consider the boundary value problem =O, xE~(2, where f2 is a bounded region in ~" with smooth boundary Bu(x) = cth(x)u + (1 -ct)Ou/~n where c~ E [0, 1], h : ~I2 --~ ~+ with h = 1 when ~ = 1,)~ > 0,f is a smooth function such that f"(u) > 0 for u > O, f(u) < 0 for u E (0,fl) and f(u) > 0 for u > f