03229nam 2200841z- 450 991055737520332120210501(CKB)5400000000042138(oapen)https://directory.doabooks.org/handle/20.500.12854/68568(oapen)doab68568(EXLCZ)99540000000004213820202105d2021 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierNonlinear Functional Analysis and Its ApplicationsBasel, SwitzerlandMDPI - Multidisciplinary Digital Publishing Institute20211 online resource (146 p.)3-0365-0240-8 3-0365-0241-6 This book consists of nine papers covering a number of basic ideas, concepts, and methods of nonlinear analysis, as well as some current research problems. Thus, the reader is introduced to the fascinating theory around Brouwer's fixed point theorem, to Granas' theory of topological transversality, and to some advanced techniques of critical point theory and fixed point theory. Other topics include discontinuous differential equations, new results of metric fixed point theory, robust tracker design problems for various classes of nonlinear systems, and periodic solutions in computer virus propagation models.Mathematics & sciencebicsscResearch & information: generalbicsscBanach contraction principleBrouwer fixed point theoremchoquard equationcomputer virus modeldifferential systemdiscontinuous differential equationsDu-Hung's fixed point theoreme0-metricessential distance (e-distance)essential mapsglobal minimagradient dependenceHamadard theoremhomotopyhybrid Taguchi real coded DNA algorithmKrasnosel'skiĭ's fixed point theoremℳ?-functionℳ?(λ)-functionminimaxminimax methodsMizoguchi-Takahashi's fixed point theoremmultiplicityn/aNadler's fixed point theoremnehari methodnonhomogeneousnonlinear elliptic problemp-Laplacianperiodic solutionsperturbation estimatorPID controllerPoincaré-miranda theorempositive solutionpositive solutionsRobin boundary conditionSEIR-KS modelselectionssliding mode controlsub-supersolutionτ-functionMathematics & scienceResearch & information: generalPrecup Raduedt737781Precup RaduothBOOK9910557375203321Nonlinear Functional Analysis and Its Applications3037685UNINA