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

• 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

• [1] Agarwal, R. P., O'Regan, D., A note on the structure of the solution set for the Cauchy differential inclusion in Banach spaces, in „Set Valued Mappings with Applications in Nonlinear Analysis”, (eds. R. P. Agarwal and D. O'Regan), Taylor and Francis Publishers, London, 2002, 11-15.
• [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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