On the nonlocal boundary value problem for first order quasilinear partial functional differential equations

• Autorzy: Człapiński T.
• Języki publikacji: EN

Abstrakty

EN

Quasilinear partial functional differential equations of the first order with nonlocal boundary condi-tions are considered. A theorem on the local existence and uniqueness of classical solutions is given. The method of bicharacteristics is used to transform the nonlocal boundary value problem into a functional integral equation and the Banach fixed-point principle to find its solution.

Słowa kluczowe

EN

functional differential equation; nonlocal boundary value problem; classical solutions; bicharacteristics; fixed point theorem

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 1999
• Tom: [Z] 39
• Strony: 57--73
• Opis fizyczny: bibliogr. 18 poz.

Twórcy

autor

Człapiński T.