Analysis of a frictional contact problem with adhesion.
Lerguet, Z., Sofonea, M., Drabla, S. (2008)
Acta Mathematica Universitatis Comenianae. New Series
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Lerguet, Z., Sofonea, M., Drabla, S. (2008)
Acta Mathematica Universitatis Comenianae. New Series
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Ayyad, Youssef, Sofonea, Mircea (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Avalishvili, M., Gordeziani, D. (2003)
Georgian Mathematical Journal
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Gachechiladze, A., Natroshvili, D. (2001)
Georgian Mathematical Journal
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Khomasuridze, N. (2001)
Georgian Mathematical Journal
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Chudinovich, Igor, Constanda, Christian (2003)
Georgian Mathematical Journal
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Lerguet, Zhor, Shillor, Meir, Sofonea, Mircea (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Khomasuridze, N. (2003)
Georgian Mathematical Journal
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Meirmanov, A.M. (2007)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Svatoslav Staněk (1993)
Annales Polonici Mathematici
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A differential equation of the form (q(t)k(u)u')' = F(t,u)u' is considered and solutions u with u(0) = 0 are studied on the halfline [0,∞). Theorems about the existence, uniqueness, boundedness and dependence of solutions on a parameter are given.
Dalah, Mohamed (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ahmed, S.M. (2000)
International Journal of Mathematics and Mathematical Sciences
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Svanadze, K. (2003)
Georgian Mathematical Journal
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Jan Bochenek (1991)
Annales Polonici Mathematici
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By using the theory of strongly continuous cosine families of linear operators in Banach space the existence of solutions of a semilinear second order differential initial value problem (1) as well as the existence of solutions of the linear inhomogeneous problem corresponding to (1) are proved. The main result of the paper is contained in Theorem 5.
Yoshihiro Shibata (1992)
Banach Center Publications
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The global existence theorem of classical solutions for one-dimensional nonlinear thermoelasticity is proved for small and smooth initial data in the case of a bounded reference configuration for a homogeneous medium, considering the Neumann type boundary conditions: traction free and insulated. Moreover, the asymptotic behaviour of solutions is investigated.