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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S. Mazouzi, Nasser-eddine Tatar (2003)
Archivum Mathematicum
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We prove exponential decay for the solution of an abstract integrodifferential equation. This equation involves coefficients of polynomial type, weakly singular kernels as well as different powers of the unknown in some norms.