On a fixed point theorem of Krasnoselskii-Schaefer type.
Dhage, B.C. (2002)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Dhage, B.C. (2002)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Balachandran, Krishnan, Kumar, Rajagounder Ravi (2007)
Applied Mathematics E-Notes [electronic only]
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Guo, Yingxin (2009)
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.
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.
Darwish, M.A. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Mydlarczyk, W., Okrasiński, W. (2000)
Journal of Inequalities and Applications [electronic only]
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Jan Bochenek (1999)
Annales Polonici Mathematici
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This paper is devoted to the investigation of the abstract semilinear initial value problem du/dt + A(t)u = f(t,u), u(0) = u₀, in the "parabolic" case.
Islam, M., Neugebauer, J.T. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Purnaras, I.K. (2006)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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