Applied mathematical sciences (Springer-Verlag New York Inc.), 78.
یادداشتهای مربوط به مندرجات
متن يادداشت
Introduction --; Preliminaries --; General Setting and the Scalar Case --; The Vectorial Case --; Non-Convex Integrands --; Appendix: Applications --; Bibliography --; Index.
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
This book deals with the calculus of variations and presents the so called direct methods for proving existence of minima. It is divided into four main parts. The first one deals with the scalar case, i.e. with real-valued functions; it gives well known existence theorems and studies some of the classical necessary conditions such as Euler equations. The second part is concerned with vector-valued functions; some necessary or sufficient conditions are studied as well as several examples. The third one deals with the relaxation of nonconvex problems. Finally in the Appendix several examples of applications of the previous chapters to nonlinear elasticity and optimal design are given. The book serves an important purpose in bringing together, in the second and third parts as well as the Appendix, material which till now remained scattered in the literature. It thus gives a unified view of some of the recent developments. As special emphasis is laid on examples throughout, it will be useful also to readers interested in applications.
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Differential equations, Partial.
موضوع مستند نشده
Mathematics.
موضوع مستند نشده
Systems theory.
رده بندی کنگره
شماره رده
QA402
.
3
نشانه اثر
B934
1989
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )