Dependence of solutions on boundary conditions for second order ordinary differential equations
β Scribed by Gene Klaasen
- Publisher
- Elsevier Science
- Year
- 1970
- Tongue
- English
- Weight
- 555 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0022-0396
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This note deals with linear second-order homogeneous ordinary differential equations associated with linear homogeneous boundary conditions. We find those solutions of the differential equation that satisfy a given boundary condition. Also, we determine the set of all those boundary conditions that
## Abstract In this paper we deal with boundary value problems equation image where __l__ : __C__^1^([__a, b__], β^__k__^) β β^__k__^ Γ β^__k__^ is continuous, __ΞΌ__ β€ 0 and __Ο__ is a Caratheodory map. We define the class __S__ of maps __l__, for which a global bifurcation theorem holds for the