## Abstract In this study, we consider a class of wave equations with strong damping and source terms associated with initial and Dirichlet boundary conditions. We establish a blow up result for certain solutions with nonpositive initial energy as well as positive initial energy. This further impro
Global Continua of Positive Solutions for Equations with Nondifferentiable Operators
β Scribed by Nguyen Bich Huy
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 70 KB
- Volume
- 239
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
Let E be separable q-uniformly smooth Banach space, q ) 1, and let A: Ε½ . D A : E Βͺ E be a K-positive definite operator. Let f g E be arbitrary. An iterative method is constructed which converges strongly to the unique solution of the equation Ax s f. Our result resolves two questions raised by C. E
## Abstract This paper discusses a randomized logistic equation equation image with initial value __x__(0)=__x__~0~>0, where __B__(__t__) is a standard oneβdimension Brownian motion, and ΞΈβ(0, 0.5). We show that the positive solution of the stochastic differential equation does not explode at any