Raziuddin Siddiqi, M. (1935) Cauchy's problem in a non-linear partial differential equation of hyperbolic type Mathematical Proceedings of the Cambridge Philosophical Society, 31 (2). pp. 195-202. ISSN 0305-0041
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Official URL: http://journals.cambridge.org/action/displayAbstra...
Related URL: http://dx.doi.org/10.1017/S0305004100013293
Abstract
Let p (x) be an essentially positive function defined in the interval 0 ≤ x ≤ π. We consider the non-linear partial differential equation ∂/∂x{p(x)∂u/∂x}-∂2u/∂t2=u2 for the boundary conditions u (x, t)=0, for x=0 and x=0 and x=π, u(x,0)=f1(x); ∂u/∂t(x,0)=f2(x).
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Cambridge University Press. |
| ID Code: | 53468 |
| Deposited On: | 08 Aug 2011 13:22 |
| Last Modified: | 08 Aug 2011 13:22 |
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