### Classical solutions of hyperbolic partial differential equations with implicit mixed derivative

Salvatore A. Marano (1992)

Annales Polonici Mathematici

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Salvatore A. Marano (1992)

Annales Polonici Mathematici

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Mahmoud Qafsaoui (2006)

Annales de l'I.H.P. Analyse non linéaire

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Dhage, B.C. (2004)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Staněk, Svatoslav (2000)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Avramescu, Cezar (2002)

Abstract and Applied Analysis

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Dhage, B.C., Henderson, Johnny (2004)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Hitoshi Ishii (2008)

Annales de l'I.H.P. Analyse non linéaire

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Jan Turo (1999)

Annales Polonici Mathematici

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Local existence of generalized solutions to nonlocal problems for nonlinear functional partial differential equations of first order is investigated. The proof is based on the bicharacteristics and successive approximations methods.

N. Dilna, A. Rontó (2008)

Mathematica Bohemica

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New general unique solvability conditions of the Cauchy problem for systems of general linear functional differential equations are established. The class of equations considered covers, in particular, linear equations with transformed argument, integro-differential equations, neutral type equations and their systems of an arbitrary order.