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Continuous Problems

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Book cover Focal Boundary Value Problems for Differential and Difference Equations

Part of the book series: Mathematics and Its Applications ((MAIA,volume 436))

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Abstract

In this chapter, we shall mainly consider the following n-th order ordinary differential equation

$${x^{(n)}} = f(t,x,x', \cdots ,{x^{(q)}}),\,0qn - 1,\;but\;fixed$$
(1.1.1)

together with the right focal point (Abel-Gontscharoff [15,40,67,170]) boundary conditions

$${x^{(i)}}({a_{i + 1}}) = {A_{i + 1}},{\text{ }}0 \leqslant i \leqslant n - 1 $$
(1.1.2)

where −∞ > a ≤ a l ≤ a2 ≤ ...; ≤ an ≤ b ≤ ∞. Throughout, unless otherwise stated, it will be assumed that the function f in (1.1.1) is continuous at least in the interior of the domain of its definition.

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  1. Department of Mathematics, National University of Singapore, Singapore

    Ravi P. Agarwal

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Agarwal, R.P. (1998). Continuous Problems. In: Focal Boundary Value Problems for Differential and Difference Equations. Mathematics and Its Applications, vol 436. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1568-3_1

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  • DOI: https://doi.org/10.1007/978-94-017-1568-3_1

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