Many mathematicians have devoted their efforts to the study of (1.1) with various nonlinearities (f x,u)).
Since Krylov and Bogolyubov [1] put forward the averaging principles for dynamical systems in 1937, the averaging principles have received great attention and many people have devoted their efforts to the study of averaging principles of nonlinear dynamical systems.
Since Kuroiwa [11] investigated minimax problems of set-valued mappings in 1996, many authors have devoted their efforts to the study of the minimax problems for set-valued mappings.
Nowadays, more and more researchers have devoted their efforts to this field, and many papers have been published about bilevel optimization both from the theoretical and computational points of view [1 3], however, many of them deal with the bilevel programming problem where the lower level is a single objective optimization problem.
A large proportion of scientists have devoted their efforts to the field of psychiatry that has resulted in contributions to the extant literature.
Many researchers have devoted their efforts to understand lymph node invasion in breast cancers, because regional lymph nodes are frequently observed as the first site of metastasis [ 7].
Yet in recent years a number of young novelists — Stephen Millhauser and Jonathan Lethem, for two — have devoted their most ambitious and energetic efforts to detailing the fervent hobbies and the intoxicating overdoses on popular culture, the estrangement and the dependence that characterize contemporary American childhood.
Until now, AmeriCorps volunteers have generally devoted their efforts to helping the underprivileged, the sort of community service that today's high school and college kids do at such phenomenal rates.
Within the past several decades, many authors have been devoting their efforts to the studies of the existence and convergence of zero points for maximal monotone operators.
Nevertheless, it is clear that to-date public health researchers have devoted more effort to justifying their research topics than to clearly articulating why and how they intend to adopt a comparative research design.
