The nonlocal Darboux problem on the unbounded region in Banach spaces

• Autorzy: Majcher P.
• Języki publikacji: EN

Abstrakty

EN

In this paper we study existence theorems of solutions for the hyperbolic Darboux problem of the form [..] with nonlocal boundary conditions u(x, 0) +h1(u) = g1(x),u(0,y) +h2(u)= g2(y), on the unbounded region. The functions defining nonlocal conditions satisfy the Lipschitz condition with respect to a measure of noncompactness.

Słowa kluczowe

EN

Darboux problem; hyperbolic problem; Banach spaces

PL

zagadnienie Darbouxa; zagadnienie hiperboliczne; przestrzenie Banacha

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2008
• Tom: Vol. 41, nr 2
• Strony: 389--402
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Majcher P.

• Faculty of Mathematics and Computer Science Adam Mickiewicz University Umultowska 87 61-614 Poznań, Poland,

Bibliografia

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