Extremal solutions for nonlinear functional -Laplacian impulsive equations
✍ Scribed by Alberto Cabada; Jan Tomeček
- Book ID
- 103846249
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 292 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
In this paper, we study the existence and approximation of the extremal solutions for the ~b-Laplacian problem lying between a pair of a lower solution c~ and an upper solution/3 such that ct \_< /3. We consider general boundary functional conditions that include classical ones as separated or perio
## Abstract The existence of anti-periodic solutions of the following nonlinear impulsive functional differential equations $$ x'(t) + a(t)x(t) = f(t,x(t),x(\alpha \_1 (t)), \ldots ,x(\alpha \_n (t))),t \in \mathbb{R},\Delta x(t\_k ) = I\_k (x(t\_k )),k \in \mathbb{Z} $$ is studied. Sufficient cond
boundary conditions a b s t r a c t This paper studies the existence of solutions of first order impulsive functional differential equations with lower and upper solutions in the reversed order, obtains the sufficient conditions for the existence of solutions by establishing a new comparison princip