On discontinuous implicit differential equations in ordered Banach spaces with discontinuous implicit boundary conditions

• Autorzy: S. Carl , S. Heikkilä
• Języki publikacji: EN

Abstrakty

EN

We consider the existence of extremal solutions to second order discontinuous implicit ordinary differential equations with discontinuous implicit boundary conditions in ordered Banach spaces. We also study the dependence of these solutions on the data, and cases when the extremal solutions are obtained as limits of successive approximations. Examples are given to demonstrate the applicability of the method developed in this paper.

Słowa kluczowe

EN

discontinuous implicit differential equations; discontinuous implicit boundary conditions; ordered Banach spaces; fixed point principles in partially ordered sets

Kategorie tematyczne

• 47H07: Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces
• 34A09: Implicit equations, differential-algebraic equations
• 47H10: Fixed-point theorems
• 34G20: Nonlinear equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1999
• Tom: 71
• Numer: 1
• Strony: 1-17

Daty

wydano

1999

otrzymano

1996-06-19

poprawiono

1997-05-15

poprawiono

1997-10-09

Twórcy

autor

S. Carl

• Fachbereich Mathematik und Informatik, Institut für Analysis, Martin-Luther-Universität Halle-Wittenberg, 06099 Halle, Germany

autor

S. Heikkilä

• Department of Mathematical Sciences, University of Oulu, 90570 Oulu, Finland

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