1935Mathematical Proceedings of the Cambridge Philosophical SocietyRequires access

Cauchy's Problem in a Non-Linear Partial Differential Equation of Hyperbolic Type

M. Raziuddin Siddiqi

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Abstract

Let p (x) be an essentially positive function defined in the interval 0 ≤ x ≤ π. We consider the non-linear partial differential equation for the boundary conditions u (x, t) = 0, for x = 0 and x = π,

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Let p (x) be an essentially positive function defined in the interval 0 ≤ x ≤ π. We consider the non-linear partial differential equation for the boundary conditions u (x, t) = 0, for x = 0 and x = π,

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Available abstract

Let p (x) be an essentially positive function defined in the interval 0 ≤ x ≤ π. We consider the non-linear partial differential equation for the boundary conditions u (x, t) = 0, for x = 0 and x = π,

Key concepts: Hyperbolic partial differential equation, First-order partial differential equation, Mathematics, Elliptic partial differential equation, Cauchy boundary condition, Partial differential equation, Mathematical analysis, Cauchy problem

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