A topological version of the Ambrosetti-Prodi theorem

Bogdan Przeradzki

Displaying similar documents to “A topological version of the Ambrosetti-Prodi theorem”

Multiplicity of positive solutions for a nonlinear differential equation with nonlinear boundary conditions

D. R. Dunninger, Haiyan Wang (1998)

Annales Polonici Mathematici

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We study the existence and multiplicity of positive solutions of the nonlinear equation u''(x) + λh(x)f(u(x)) = 0 subject to nonlinear boundary conditions. The method of upper and lower solutions and degree theory arguments are used.

On a nonlocal boundary value problem for second order nonlinear equations.

Lomtatidze, A. (1997)

Memoirs on Differential Equations and Mathematical Physics

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On the solvability of boundary value problems for systems of nonlinear differential equations with deviating arguments.

Kiguradze, I., Puz̆a, B. (1997)

Memoirs on Differential Equations and Mathematical Physics

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A fibering method approach to a system of quasilinear equations with nonlinear boundary conditions

Dimitrios A. Kandilakis, Manolis Magiropoulos (2006)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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We provide an existence result for a system of quasilinear equations subject to nonlinear boundary conditions on a bounded domain by using the fibering method.

Existence results for systems with nonlinear coupled nonlocal initial conditions

Octavia Bolojan, Gennaro Infante, Radu Precup (2015)

Mathematica Bohemica

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The purpose of the present paper is to study the existence of solutions to initial value problems for nonlinear first order differential systems subject to nonlinear nonlocal initial conditions of functional type. The approach uses vector-valued metrics and matrices convergent to zero. Two existence results are given by means of Schauder and Leray-Schauder fixed point principles and the existence and uniqueness of the solution is obtained via a fixed point theorem due to Perov. Two examples...