On the Theory of Generalized Ballistical Problem for Nonlinear Abstract Differential Equations
AbstractIn the present work, we have obtained principally new results for solvability and non-solvability of one problem for second order abstract differential equations with the main linear part. The method, based on solving corresponding Dirichlet problem, lies on the basis of present investigations. In section 1, we present the formulation of the basic problem and reduce the short review of same investigations related to given problems. In section 2, we show the roll of the corresponding subsidiary boundary value problem for linear equation in the study of the basic problem. In section 3, we present the theorems of existence and nonexistence of the solution of the ballistical problem for nonlinear abstract differential equations with the linear part, in the case when the initial and the latter points of the desired solutions are not coinciding. Also we can prove the theorems of solvabilitv and non-solvability of considering problem in the case, when the Initial and the latter points desired trajectory are coinciding.
Scifeed alert for new publicationsNever miss any articles matching your research from any publisher
- Get alerts for new papers matching your research
- Find out the new papers from selected authors
- Updated daily for 49'000+ journals and 6000+ publishers
- Define your Scifeed now
Shamilov, A.K. On the Theory of Generalized Ballistical Problem for Nonlinear Abstract Differential Equations. Math. Comput. Appl. 1999, 4, 69-74.
Shamilov AK. On the Theory of Generalized Ballistical Problem for Nonlinear Abstract Differential Equations. Mathematical and Computational Applications. 1999; 4(1):69-74.Chicago/Turabian Style
Shamilov, A. K. 1999. "On the Theory of Generalized Ballistical Problem for Nonlinear Abstract Differential Equations." Math. Comput. Appl. 4, no. 1: 69-74.