Titlebook: Method of Guiding Functions in Problems of Nonlinear Analysis; Valeri Obukhovskii,Pietro Zecca,Sergei Kornev Book 2013 Springer-Verlag Ber

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Method of Guiding Functions in Problems of Nonlinear Analysis978-3-642-37070-0Series ISSN 0075-8434 Series E-ISSN 1617-9692

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Lecture Notes in Mathematicshttp://image.papertrans.cn/m/image/631847.jpg

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Method of Guiding Functions in Hilbert Spaces,In this chapter we present a new approach to extend the method of guiding function for differential and functional differential inclusions in Hilbert spaces. The results in this chapter were partly published in [100, 108, 109].

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https://doi.org/10.1007/978-3-642-37070-034C25, 34C23, 47J15, 58E07, 34C15, 34B15, 34A60, 34G25; Guiding function; bifurcation; control system; p

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Second-Order Differential Inclusions, 47, 68, 70, 97]). In this chapter we consider the boundary value problem of form . for second-order differential inclusions which arises naturally from some physical and control problems. Using the method of guiding functions we study the existence of solutions of problem (4.1) in an one-dimensiona