Global existence and boundedness for quasi-variational systems.
Cantarelli, Giancarlo (1999)
International Journal of Mathematics and Mathematical Sciences
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Cantarelli, Giancarlo (1999)
International Journal of Mathematics and Mathematical Sciences
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Frota, C.L., Lar'kin, N.A. (1998)
Portugaliae Mathematica
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Mokhtar Kirane, Nasser-eddine Tatar (2000)
Archivum Mathematicum
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We prove global existence and stability results for a semilinear parabolic equation, a semilinear functional equation and a semilinear integral equation using an inequality which may be viewed as a nonlinear singular version of the well known Gronwall and Bihari inequalities.
Purnaras, I.K. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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S. Staněk (1992)
Annales Polonici Mathematici
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A differential equation of the form (q(t)k(u)u')' = λf(t)h(u)u' depending on the positive parameter λ is considered and nonnegative solutions u such that u(0) = 0, u(t) > 0 for t > 0 are studied. Some theorems about the existence, uniqueness and boundedness of solutions are given.
Burton, T.A. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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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.
Riccardo Adami, Gianfausto Dell'Antonio, Rodolfo Figari, Alessandro Teta (2004)
Annales de l'I.H.P. Analyse non linéaire
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Messaoudi, Salim A. (2005)
Abstract and Applied Analysis
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