On a nonlocal boundary value problem for second-order nonlinear singular differential equations.
Lomtatidze, A., Malaguti, L. (2000)
Georgian Mathematical Journal
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Lomtatidze, A., Malaguti, L. (2000)
Georgian Mathematical Journal
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Lomtatidze, A. (1994)
Georgian Mathematical Journal
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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.
Arina A. Arkhipova (2001)
Commentationes Mathematicae Universitatis Carolinae
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We prove local in time solvability of the nonlinear initial-boundary problem to nonlinear nondiagonal parabolic systems of equations (multidimensional case). No growth restrictions are assumed on generating the system functions. In the case of two spatial variables we construct the global in time solution to the Cauchy-Neumann problem for a class of nondiagonal parabolic systems. The solution is smooth almost everywhere and has an at most finite number of singular points.
D. O'Regan (1991)
Annales Polonici Mathematici
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Existence of positive solution to certain classes of singular and nonsingular third order nonlinear two point boundary value problems is examined using the idea of Topological Transversality.
W. M. Zajączkowski (1995)
Annales Polonici Mathematici
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We prove the local existence of solutions for equations of motion of a viscous compressible barotropic fluid in a domain bounded by a free surface. The solutions are shown to exist in exactly those function spaces where global solutions were found in our previous papers [14, 15].
Gaprindashvili, G. (1995)
Georgian Mathematical Journal
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M. Kirane (1993)
Applicationes Mathematicae
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This paper considers a reaction-diffusion system with biatic diffusion.Existence of a globally bounded solution is proved and its large timebehaviour is given.
Pudełko, Anna (2004)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Dong, Xin, Bai, Zhanbing (2008)
The Journal of Nonlinear Sciences and its Applications
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