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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.
Appleby, John A.D., Reynolds, David W. (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Vanualailai, Jito (2002)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Messaoudi, Salim A. (2005)
Abstract and Applied Analysis
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Belmekki, M., Benchohra, M., Ntouyas, S.K. (2006)
Fixed Point Theory and Applications [electronic only]
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Purnaras, I.K. (2007)
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.
Burton, T.A. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Berroug, Tarik (2010)
Applied Mathematics E-Notes [electronic only]
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