The maximum principles present one of the classical parts in the qualitative theory of ordinary and partial differential equations. Although assertions about the maximum principles for functional differential equations can be interpreted in a corresponding sense as analogs of corresponding classical ones in the case of ordinary differential equations, they do not imply important corollaries, reached on the basis of finite dimensional fundamental systems. For example, results associated with the maximum principles in contrast with the cases of ordinary and even partial differential equations do not add so much in problems of existence and uniqueness. In this paper we obtain the maximum principles for functional differential equations and on this basis new results on existence and uniqueness of solutions for various boundary value problems are proposed.
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6 May 2009
MATHEMATICAL MODELS IN ENGINEERING, BIOLOGY AND MEDICINE: International Conference on Boundary Value Problems: Mathematical Models in Engineering, Biology and Medicine
16–19 September 2008
Santiago de Compostela (Spain)
Research Article|
May 06 2009
Maximum Principles and Boundary Value Problems for FDEs
Alexander Domoshnitsky
Alexander Domoshnitsky
Ariel University Center of Samaria, Ariel, Israel
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AIP Conf. Proc. 1124, 89–100 (2009)
Citation
Alexander Domoshnitsky; Maximum Principles and Boundary Value Problems for FDEs. AIP Conf. Proc. 6 May 2009; 1124 (1): 89–100. https://doi.org/10.1063/1.3142957
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