Optimal constants in a nonlocal boundary value problem
β Scribed by J.R.L. Webb
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 163 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
In this article, we prove an existence result for a nonlocal boundary value problem at resonance concerning a second order differential equation. Our method is based upon the coincidence degree theory of Mawhin.
The singular differential equation (g(x')) ' = f(t, x, x') together with the nonlocal boundary conditions x(0) = x(T) = -Tmin{x(t) : t E [0,T]} is considered. Here g E CΒ°(]R) is an increasing and odd function, positive f satisfying the local Carath4odory conditions on [0, T] Γ (]R \ {0}) 2 may be si
We present sufficient conditions for the existence of positive solutions for some second order boundary value problems at resonance. The boundary conditions that we study are quite general, involve a Stieltjes integral and include, as particular cases, multi-point and integral boundary conditions. O
We consider two problems on eigenvalues of a nonlocal boundary-value problem for Laplace operator over a two-dimensional disk. We write out the adjoint boundary-value problems and show these problems have only eigenfunctions, but no associated functions. We also show that the spectrum of these probl