On the Cauchy problem for non-linear systems of partial differential-functional equations of the first order

DOI10.1007/BF01886301zbMath0455.35031MaRDI QIDQ3903356

Zdzisław Kamont

Publication date: 1980

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

zbMATH Keywords

Cauchy probleminitial value problemssuccessive approximationsretarded argumentexistence domaingeneral first order equations and systems

Mathematics Subject Classification ID

Initial value problems for nonlinear first-order PDEs (35F25) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Cites Work

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• On the CAUCHY Problem for Non-linear Partial Differential-functional Equations of the First Order
• On the Existence and Uniqueness of Solutions of the CAUCHY Problem for Linear Partial Differential – functional Equations of the First Order
• On the Cauchy problem for linear partial differential-functional equations of first order
• On a differential inequality with a lagging argument
• Sur les équations aux dérivées partielles du premier ordre à argument fonctionnel
• Global existence for non-linear partial differential equations of the first order

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