Ordinary differential equations with nonlinear boundary conditions.
Jankowski, Tadeusz (2002)
Georgian Mathematical Journal
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Displaying similar documents to “Monotone method for nonlinear second order periodic boundary value problems with Carathéodory functions”
Ordinary differential equations with nonlinear boundary conditions.
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Wenjie Gao, Junyu Wang (1995)
Annales Polonici Mathematici
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The periodic boundary value problem u''(t) = f(t,u(t),u'(t)) with u(0) = u(2π) and u'(0) = u'(2π) is studied using the generalized method of upper and lower solutions, where f is a Carathéodory function satisfying a Nagumo condition. The existence of solutions is obtained under suitable conditions on f. The results improve and generalize the work of M.-X. Wang et al. [5].
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Qualitative behavior of a class of second order nonlinear differential equations on the halfline
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.
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Hua, Jun, Moseley, James L. (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Regularizing a nonlinear integroparabolic Fokker--Planck equation with space-periodic solutions: existence of strong solutions.
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Novi Sad Journal of Mathematics
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Upper bounds for class numbers of real quadratic fields
Maohua Le (1994)
Acta Arithmetica
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Qualitative investigation of nonlinear differential equations describing infiltration of water
Xingbao Wu (1995)
Annales Polonici Mathematici
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A nonlinear differential equation of the form (q(x)k(x)u')' = F(x,u,u') arising in models of infiltration of water is considered, together with the corresponding differential equation with a positive parameter λ, (q(x)k(x)u')' = λF(x,u,u'). The theorems about existence, uniqueness, boundedness of solution and its dependence on the parameter are established.