This paper concerns the existence of positive solutions to a singular differential equation with the boundary conditions where Ξ», Ξ³ > 0, f (t) β C[0, 1] and f (t) > 0 on [0, 1]. By theories of ordinary differential equations, Bertsch and Ughi [M. Bertsch, M. Ughi, Positivity properties of viscosit
A new set of solutions to a singular second-order differential equation arising in boundary layer theory
β Scribed by Lu, Chunqing
- Book ID
- 123374681
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 295 KB
- Volume
- 411
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## By a new approach, we prove in this paper that there exists Xo E (-l/2,0) such that the following third-order nonlinear boundary value problem for f(n): which arises in boundary layer theory in fluid mechanics, has a solution at least for any fixed X E (Xo, 0).
The differential equation f ' " + i f " + ~kf '2 = 0 (where dashes denote differentiation with respect to the independent variable 7/) subject to the boundary conditions f(0) = 0, f'(oo) = 0 and either f'(0) = 1 or f"(0) = -1 is considered. It is shown that by using p -= f ' as dependent variable an
## Abstract Weyl's theory for a set of __N__βcoupled singular secondβorder differential equations is analyzed in relation to __S__βmatrix theory and a dilated version is presented. Applications of this theory to two single channel scattering model problems and a twoβchannel model problem are given.