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Boundary-Value Problem for Weakly Nonlinear Hyperbolic Equations with Variable Coefficients

✍ Scribed by N. I. Bilusyak; B. I. Ptashnyk


Book ID
110328123
Publisher
Springer
Year
2001
Tongue
English
Weight
119 KB
Volume
53
Category
Article
ISSN
0041-5995

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We consider a one-dimensional coupled problem for elliptic second-order ODEs with natural transmission conditions. In one subinterval, the coe$cient '0 of the second derivative tends to zero. Then the equation becomes there hyperbolic and the natural transmission conditions are not ful"lled anymore.