Preface to the English version the current monograph is a revised and enlarged substitute of the author's monograph [19] which was once dedicated to the improvement of a unified method of learning differential inclusions, whose values of the precise hand aspects are compact, no longer unavoidably convex subsets of a Banach house. This process will depend on principles and techniques of modem practical research, common topology, the speculation of multi-valued mappings and non-stop selectors. even though the fundamental content material of the former monograph has been remained a similar this monograph has been partially re-organized and the author's fresh effects were additional. The contents of the current ebook are divided into 5 Chapters and an Appendix. the 1st bankruptcy of the J>ook has been left with no adjustments and offers with multi-valued differential equations generated by way of a differential inclusion. the second one bankruptcy has been considerably revised and prolonged. the following the au thor's fresh effects pertaining to severe non-stop selectors of multi-functions with decomposable values, multi-valued selectors ofmulti-functions generated by way of a differential inclusion, the life of options of a differential inclusion, whose correct hand aspect has varied houses of semicontinuity at diverse issues, were incorporated. a few of these effects made it attainable to simplify schemes for proofs about the lifestyles of recommendations of differential inclu sions with semicontinuous correct hand aspect a.nd to acquire new effects. during this bankruptcy the life of options of other kinds are thought of.
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