Existence of solutions to derivative-dependent, nonlinear singular boundary value problems
Date
2014
Authors
Fewster Young, N.
Tisdell, C.
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Journal article
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Applied Mathematics Letters, 2014; 28:42-46
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Abstract
This article examines two-point boundary value problems (BVPs) for second-order, singular ordinary differential equations where the right-hand-side of the differential equation may depend on the derivative of the solution. We introduce a method to obtain a priori bounds on all potential solutions, including their "derivatives", to the singular BVP under consideration. The approach is based on the application of differential inequalities of singular type. The ideas are then applied to yield new existence results for solutions.
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Crown Copyright 2013