Initial and boundary value problems for partial functional differential equations.
Ntouyas, S.K., Tsamatos, P.Ch. (1997)
Journal of Applied Mathematics and Stochastic Analysis
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Ntouyas, S.K., Tsamatos, P.Ch. (1997)
Journal of Applied Mathematics and Stochastic Analysis
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Jan Turo (1999)
Annales Polonici Mathematici
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Local existence of generalized solutions to nonlocal problems for nonlinear functional partial differential equations of first order is investigated. The proof is based on the bicharacteristics and successive approximations methods.
Oplustil, Z., Sremr, J. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Liu, Lishan, Hao, Xinan, Wu, Yonghong (2010)
Boundary Value Problems [electronic only]
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Robert Hakl, Alexander Lomtatidze, Jiří Šremr (2002)
Archivum Mathematicum
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Nonimprovable, in a certain sense, sufficient conditions for the unique solvability of the boundary value problem are established, where is a linear bounded operator, , , and . The question on the dimension of the solution space of the homogeneous problem is discussed as well.
Raffoul, Youssef N. (2002)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Bai, Chuanzhi (2010)
Abstract and Applied Analysis
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Li, Jiemei, Wang, Jinxiang (2010)
Boundary Value Problems [electronic only]
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Benchohra, Mouffak, Nieto, Juan J., Ouahab, Abdelghani (2011)
Boundary Value Problems [electronic only]
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Prasad, K.R., Rao, A.Kameswara (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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