The existence of positive solutions of a second order differential equation of the form z"+ g(t) f (z)=0 (1.1) with suitable boundary conditions has proved to be important in theory and applications whether g is continuous in [0, 1] or g has singularities. These equations often arise in the study
โฆ LIBER โฆ
Sectorial solution to semilinear singular partial differential equation
โ Scribed by Masafumi Yoshino
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 202 KB
- Volume
- 137
- Category
- Article
- ISSN
- 0025-2611
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## Abstract We solve a Fuchsian system of singular nonlinear partial differential equations with resonances. These equations have no smooth solutions in general. We show the solvability in a class of finitely smooth functions. Typical examples are a homology equation for a vector field and a degene