On state dependent non-local conditions. (English) Zbl 1489.34089
Summary: We introduce a new type of non-local conditions, which we call state dependent non-local conditions, and we study existence and uniqueness of solutions for abstract differential equation subjected to this class of conditions. The non-local condition proposed generalizes several types of non-local conditions studied in the literature. Some examples are given to illustrate our theory.
MSC:
| 34G20 | Nonlinear differential equations in abstract spaces |
| 34B10 | Nonlocal and multipoint boundary value problems for ordinary differential equations |
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