Maximal solutions and existence theory for fuzzy differential and integral equations

• Autorzy: Agarwal R. P. , O'Regan D. , Lakshmikantham V.
• Języki publikacji: EN

Abstrakty

EN

New existence resilts are prosented for fuzzy differential and integral equations. Our analysis combines the stacking theorem with results concerning the maximal solution for an appropriate differential equation.

Słowa kluczowe

EN

existence results; fuzzy differential and integral equations; maximal solution; stacking theorem

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2005
• Tom: Vol. 11, nr 2
• Strony: 171--186
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Agarwal R. P.

• Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901-6975, USA

autor

O'Regan D.

• Department of Mathematics, National University of Ireland, Galway, Ireland

autor

Lakshmikantham V.

• Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901-6975, USA

Bibliografia

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• [2] Agarwal, R. P., O'Regan, D., Lakshmikantham, V., Fuzzy Volterra integral equations: a stacking theorem approach, Appl. Anal. 83 (2004), 521-532.
• [3] Agarwal, R. P., O'Regan, D., Lakshmikantham, V., A stacking theorem approach for fuzzy differential equations, Nonlinear Anal. 55 (2003), 299-312.
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• [9] Górniewicz, L., Topological Fixed Point Theory of Multivalued Maps, Kluwer Acad. Publishers, Dordrecht, 1999.
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• [12] Lakshmikantham, V., Leela, S., Differential and Integral Inequalities, Vol. I, Academic Press, New York, 1969.
• [13] Lakshmikantham, V., Mohapatra, R., Theory of Fuzzy Differential Equations and Inclusions, Taylor and Francis Publishers, London, 2003.
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