We prove the existence of positive solutions to the scalar equation y (x) + F (x, y, y ) = 0. Applications to semilinear elliptic equations in exterior domains are considered.
Existence for positive solutions of second-order neutral nonlinear differential equations
✍ Scribed by I. Culáková; L’. Hanuštiaková; Rudolf Olach
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 321 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0893-9659
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✦ Synopsis
We consider the nonlinear neutral differential equations. This work contains some sufficient conditions for the existence of a positive solution which is bounded with exponential functions. The case when the solution converges to zero is also treated.
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