Displaying similar documents to “Three point boundary value problem for singularly perturbed semilinear differential equations.”

Boundary value problem with an inner point for the singularly perturbed semilinear differential equations

Róbert Vrábeľ (2011)

Mathematica Bohemica

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In this paper we investigate the problem of existence and asymptotic behavior of solutions for the nonlinear boundary value problem ϵ y ' ' + k y = f ( t , y ) , t ∈ 〈 a , b 〉 , k < 0 , 0 < ϵ ≪ 1 satisfying three point boundary conditions. Our analysis relies on the method of lower and upper solutions and delicate estimations.

Systems of differential inclusions in the absence of maximum principles and growth conditions

Christopher C. Tisdell (2006)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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This article investigates the existence of solutions to second-order boundary value problems (BVPs) for systems of ordinary differential inclusions. The boundary conditions may involve two or more points. Some new inequalities are presented that guarantee a priori bounds on solutions to the differential inclusion under consideration. These a priori bound results are then applied, in conjunction with appropriate topological methods, to prove some new existence theorems for solutions to...