Author:
Pagan Gordon,Stocks David
Abstract
SynopsisIt is established that under certain restrictions the solution u of the equation uxy − gu = 0 satisfying u(x, 0) = p(x) and u(0,y) = q(y) in ([0, = ∞) × [0, ∞), changes sign in where (X, Y) is any point in the relevant region.
Publisher
Cambridge University Press (CUP)
Reference9 articles.
1. 9 Pagan G. . The study of the oscillatory behaviour of solutions of hyperbolic partial differential equations. (Doctoral thesis, Chelsea College, Univ. Lond., 1975).
2. Existence of Nodal Lines for Solutions of Hyperbolic Equations
3. Comparison and oscillation theorems for hyperbolic equations;Travis;Utilitas Math.,1974
4. Oscillation theorems for solutions of hyperbolic equations
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