Nonlinear differential equation with self-excited and parametric excitations

... phase equations E quations ( 12) and (13) have the same stru ctu re Analogously for equations (14) and (15), also for equations (16) and (17) So, it is sufficient to study equations (12), (14) and ... 0.02 J 71 NO NLIN EA R DIFFERENTIAL EQUATION For system (16) the response equation is L = 0, 29) 30)L = J ( h i - - h ^ ù + ^2A + ^ a o i ~ c2fl0 and the characteristic equation...

Ngày tải lên: 08/04/2015, 15:29

Ngày tải lên: 22/03/2014, 11:20

... Vasundhara Devi, Theory of Fractional Dynamic Systems, Cambridge Academic, Cambridge, UK, 2009 V Lakshmikantham and A S Vatsala, “Basic theory of fractional differential equations,” Nonlinear Analysis ... 2391–2396, 2009 17 H A H Salem, “On the nonlinear Hammerstein integral equations in Banach spaces and application to the boundary value problem of fractional ord...

Ngày tải lên: 21/06/2014, 05:20

... W Ge, “Existence of solutions of boundary value problems with integral boundary conditions for second-order impulsive integro-differential equations in Banach spaces,” Journal of Computational ... 1915–1926, 2010 X Zhang, X Yang, and W Ge, Positive solutions of nth-order impulsive boundary value problems with integral boundary conditions in Banach spaces,” Nonli...

Ngày tải lên: 21/06/2014, 16:20

... theorem, we have investigated the existence and multiplicity of positive solutions for a class of higher-order nonlinear fractional differential equations with integral boundary conditions and obtained ... higherorder nonlinear fractional differential equations,” Abstract and Applied Analysis, vol 2009, Article ID 494720, pages, 2009 11 B Ahmad and J J Nieto, Existence r...

Ngày tải lên: 21/06/2014, 16:20

... funzioni misurabilli,” Bollettino della Unione Matematica Italiana B, vol 3, no 6, pp 497–515, 1984 16 J Bana´ and Z Knap, “Measures of weak noncompactness and nonlinear integral equations of s convolution ... functional integral equation on an unbounded interval,” Nonlinear Analysis Theory, Methods & Applications, vol 71, no 9, pp 4131–4136, 2009 11 B Ricceri and A Villani, “Se...

Ngày tải lên: 21/06/2014, 17:20

... initial value problems for nonlinear fractional differential equations Appl Math Lett 23, 676–680 (2010) [15] Zhao, Y, Sun, S, Han, Z, Zhang, M: Positive solutions for boundary value problems ... dealing with the existence of solutions to boundary value problems for fractional differential equation with p-Laplacian operator In [24], the authors investigated the n...

Ngày tải lên: 21/06/2014, 17:20

... nonlinear wave equations of the form P utt −Au F u ,” Transactions of the American Mathematical Society, vol 192, pp 1–21, 1974 V K Kalantarov and O A Ladyzhenskaya, “The occurrence of collapase for ... evolution equation with a generalized Lewis function,” Journal for Analysis and Its Applications, vol 24, no 1, pp 179–187, 2005 11 Y Zhou, A blow-up result for a nonli...

Ngày tải lên: 21/06/2014, 20:20

... degenerate wave equation with nonlinear boundary conditions, Journal of Mathematical Analysis and Applications 281 (2003), no 1, 108–124 [7] C Giorgi and V Pata, Asymptotic behavior of a nonlinear hyperbolic ... Cavalcanti, Existence and uniform decay of the wave equation with nonlinear boundary damping and boundary memory source term, Calculus of Variations and Pa...

Ngày tải lên: 22/06/2014, 22:20

... First-order abstract partial differential equations with impulses are treated in [6-9] The literature related to ordinary and partial functional differential equations with delay for which p(t, ... state- dependent delay is limited, to our knowledge, to the recent works [21,22] The study of impulsive partial functional differential equations with state- depend...

Ngày tải lên: 29/10/2015, 14:19

... L∞ estimates of solutions for the quasilinear parabolic equation with nonlinear gradient term and L1 data Caisheng Chen1 , Fei Yang2 and Zunfu Yang3 College of Science, Hohai University, ... of the assumed solutions u(t) and give a proof of Theorem 2.4 The solutions are in fact given as limits of smooth solutions of appropriate approximate equ...

Ngày tải lên: 21/06/2014, 20:20

... D, and H , K and M are independent of y(·) Please cite this article in press as: N Abada, et al., Nonlinear impulsive partial functional differential inclusions with state- dependent delay and multivalued ... this article in press as: N Abada, et al., Nonlinear impulsive partial functional differential inclusions with state- dependent delay and...

Ngày tải lên: 29/10/2015, 14:19

... was higher than that of the dimeric complex of decorin with type I or type VI collagen The existence of an interaction of decorin with type I and type VI collagen has been shown in vivo in skin ... chips and with 0.3 M NaCl in the case of immobilized type VI collagen To form a complex consisting of decorin, type I and type VI collagen,...

Ngày tải lên: 07/03/2014, 16:20

... Ordinary and partial differential equation routines in C, C++, Fortran, Java, Maple, and MATLAB / H.J Lee and W.E Schiesser p cm Includes bibliographical references and index ISBN 1-5 848 8-4 2 3-1 ... Ordinary and Partial Differential Equation Routines in C, C++, Fortran, Java®, Maple®, and MATLAB H.J Lee and W.E Schiesser CHAPMAN &...

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