Existence and uniform decay of solutions for a class of generalized plate-membrane-like systems.
Liu, Haihong, Su, Ning (2006)
International Journal of Mathematics and Mathematical Sciences
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Liu, Haihong, Su, Ning (2006)
International Journal of Mathematics and Mathematical Sciences
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Georgiev, Svetlin Georgiev (2007)
Boundary Value Problems [electronic only]
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Youwei Zhang (2013)
Mathematica Bohemica
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This paper deals with the generalized nonlinear third-order left focal problem at resonance where the nonlinear term is a Carathéodory function and contains explicitly the first and second-order derivatives of the unknown function. The boundary conditions that we study are quite general, involve a linearity and include, as particular cases, Sturm-Liouville boundary conditions. Under certain growth conditions on the nonlinearity, we establish the existence of the nontrivial solutions...
Guo, Yingxin (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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McArthur, Summer, Kosmatov, Nickolai (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Fayazov, Kudratillo S., Schock, Eberhard (2001)
Abstract and Applied Analysis
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Long, Nguyen Thanh, Ngoc, Le Thi Phuong (2007)
Abstract and Applied Analysis
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Svatoslav Staněk (1995)
Annales Polonici Mathematici
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The differential equation of the form , a ∈ (0,∞), is considered and solutions u with u(0) = 0 and (u(t))² + (u’(t))² > 0 on (0,∞) are studied. Theorems about existence, uniqueness, boundedness and dependence of solutions on a parameter are given.
Lupulescu, V. (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Frota, C.L., Lar'kin, N.A. (1998)
Portugaliae Mathematica
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