ON TOTAL PRESERVATION OF GLOBAL SOLVABILITY OF FUNCTIONAL OPERATOR EQUATIONS |
| 3 | |
| 2009 |
| MATHEMATICS |
| scientific article | 517.988, 517.977.56 | ||
| 130-137 | total preservation of global solvability, functional operator equation, monotonicity, uniqueness theorem |
| For a nonlinear controlled functional operator equation in a Banach ideal space, a theorem has been proved on global solvability sufficient conditions for all controls from a conic segment in the sense of cone semiordering of nonnegative vector-functions provided that the equation is globally solvable at the segment endpoints and its right-hand side is monotonic. Some examples are given of the reduction of controlled initial-boundary-value problems to the functional operator equation under study. |
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