On a third order parabolic equation with a nonlocal boundary condition.
Bouziani, Abdelfatah (2000)
Journal of Applied Mathematics and Stochastic Analysis
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Bouziani, Abdelfatah (2000)
Journal of Applied Mathematics and Stochastic Analysis
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Bouziani, Abdelfatah (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Wang, Yuandi, Zorgati, Hamdi (2007)
Boundary Value Problems [electronic only]
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von Below, Joachim, De Coster, Colette (2000)
Journal of Inequalities and Applications [electronic only]
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Bajnov, D. D., Milusheva, S. D.
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de Coster, C., Fabry, C., Munyamarere, F. (1994)
International Journal of Mathematics and Mathematical Sciences
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Ntouyas, S.K., Tsamatos, P.Ch. (1991)
International Journal of Mathematics and Mathematical Sciences
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S. Pyatkov (1992)
Banach Center Publications
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In the first part of the paper we study some properties of eigenelements of linear selfadjoint pencils Lu = λBu. In the second part we apply these results to the investigation of some boundary value problems for mixed type second order operator-differential equations.
Barradas, Ignacio, Perez-Esteva, Salvador (1993)
International Journal of Mathematics and Mathematical Sciences
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Begehr, H., Wen, G.C., Zhao, Z. (1991)
Mathematica Pannonica
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Milena Matusik (2012)
Annales Polonici Mathematici
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The paper deals with the initial boundary value problem of Robin type for parabolic functional differential equations. The unknown function is the functional variable in the equation and the partial derivatives appear in the classical sense. A theorem on the existence of a classical solution is proved. Our formulation and results cover differential equations with deviated variables and differential integral problems.