Uniformly enclosing discretization methods for semilinear boundary value problems

H.-G. Roos

Displaying similar documents to “Uniformly enclosing discretization methods for semilinear boundary value problems”

Positive solutions to nonlinear singular second order boundary value problems

Gabriele Bonanno (1996)

Annales Polonici Mathematici

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Existence theorems of positive solutions to a class of singular second order boundary value problems of the form y'' + f(x,y,y') = 0, 0 < x < 1, are established. It is not required that the function (x,y,z) → f(x,y,z) be nonincreasing in y and/or z, as is generally assumed. However, when (x,y,z) → f(x,y,z) is nonincreasing in y and z, some of O'Regan's results [J. Differential Equations 84 (1990), 228-251] are improved. The proofs of the main theorems are based on a fixed point...

An overview of the lower and upper solutions method with nonlinear boundary value conditions.

Cabada, Alberto (2011)

Boundary Value Problems [electronic only]

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Three point boundary value problem for singularly perturbed semilinear differential equations.

Vrábel, Róbert (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Positive symmetric solutions of singular semipositone boundary value problems.

Rudd, Matthew, Tisdell, Christopher C. (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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On strongly nonlinear elliptic equations with weak coercitivity condition.

László Simon (1992)

Publicacions Matemàtiques

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We prove the existence and uniqueness of weak solutions of boundary problem value problems in an unbounded domain Ω ⊂ R for strongly nonlinear 2m order elliptic differential equations.

Nonlocal four-point boundary value problem for the singularly perturbed semilinear differential equations.

Vrabel, Robert (2011)

Boundary Value Problems [electronic only]

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Construction of upper and lower solutions for singular discrete initial and boundary value problems via inequality theory.

Lü, Haishen, O'Regan, Donal (2005)

Advances in Difference Equations [electronic only]

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Heteroclinic orbits in plane dynamical systems

Luisa Malaguti, Cristina Marcelli (2002)

Archivum Mathematicum

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We consider general second order boundary value problems on the whole line of the type $u^{''} = h (t, u, u^{'})$ , $u (- \infty) = 0, u (+ \infty) = 1$ , for which we provide existence, non-existence, multiplicity results. The solutions we find can be reviewed as heteroclinic orbits in the $(u, u^{'})$ plane dynamical system.

Existence and uniqueness of solutions for boundary value problems to the singular one-dimension $p$ -Laplacian.

Lin, Xiaoning, Sun, Weizhi, Jiang, Daqing (2008)

Boundary Value Problems [electronic only]

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An existence result for nonlinear evolution equations of second order

Dimitrios A. Kandilakis (1996)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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In this paper we consider a second order differential equation involving the difference of two monotone operators. Using an auxiliary equation, a priori bounds and a compactness argument we show that the differential equation has a local solution. An example is also presented in detail.