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A survey of partial differential equations with piecewise continuous arguments. (English) Zbl 0821.35140
Summary: Some work is described and new topics are posed on initial and boundary- value problems for partial differential equations whose arguments have intervals of constancy. These equations are of considerable theoretical and applied interest.

35R10 Partial functional-differential equations
35B25 Singular perturbations in context of PDEs
35L10 Second-order hyperbolic equations
35L50 Initial-boundary value problems for first-order hyperbolic systems
34A05 Explicit solutions, first integrals of ordinary differential equations
34K25 Asymptotic theory of functional-differential equations
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