On a fractional differential inclusion with integral boundary conditions in Banach space

... 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

... Variational approach to impulsive differential equations, ” Nonlinear Analysis Real World Applications, vol 10, no 2, pp 680–690, 2009 11 Y Tian and W Ge, “Applications of variational methods to ... solutions for multipoint boundary value problem on the half-line with impulses,” Boundary Value Problems, vol 2009, Article ID 834158, 12 pages, 2009 J Chu and J J Nieto, Impuls...

Ngày tải lên: 21/06/2014, 11:20

... 351–363, 2008 13 X Zhang, M Feng, and W Ge, “Symmetric positive solutions for p-Laplacian fourth-order differential equations with integral boundary conditions,” Journal of Computational and Applied ... X Zhang and L Liu, “A necessary and sufficient condition for positive solutions for fourth-order multi-point boundary value problems with p-Laplacian, ” Nonlinear...

Ngày tải lên: 21/06/2014, 11:20

... which is a monotone positive solution of the BVP 1.3 Theorem 3.2 If H1 f ∞ < < H2 f0 , then the BVP 1.3 has at least one monotone positive solution Proof The proof is similar to that of Theorem ... x y ∈ 0, ∞ , then the BVP 1.3 has no monotone positive solution 10 Boundary Value Problems Proof Suppose on the contrary that u is a monotone positive solution...

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... “Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions,” Boundary Value Problems, vol 2009, Article ID 708576, 11 pages, ... inclusions with integral boundary conditions,” The Rocky Mountain Journal of Mathematics, vol 40, no 1, pp 13–26, 2010 G Infante, “Nonlocal boundary value problems...

Ngày tải lên: 21/06/2014, 11:20

... Wang and T.-S Yeh, “Exact multiplicity of solutions and S-shaped bifurcation curves for the p-Laplacian perturbed Gelfand problem in one space variable,” Journal of Mathematical Analysis and Applications, ... theory,” Journal of Mathematical Analysis and Applications, vol 69, no 1, pp 131–145, 1979 14 S H Wang, “On S-shaped bifurcation curves,” Nonlinear Analysis: Theory, Methods...

Ngày tải lên: 21/06/2014, 16:20

... 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...

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... theory of integral equations and their relation with boundaryvalue problems, we refer to the book of Corduneanu 22 and Agarwal and O’Regan 23 On the other hand, boundary- value problems with integral ... paper, we consider the existence of positive solutions for a class of boundary value problems with integral boundary conditions of fourth-order imp...

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... 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...

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... m-accretive mapping, then the problem 1.2 reduces to the following generalized nonlinear random multivalued operator equation involving generalized maccretive mapping in Banach spaces Find x, v : ... the general nonlinear random equation with multivalued operator involving generalized m-accretive mapping in Banach spaces Some special cases of the problem 1.2 are as...

Ngày tải lên: 22/06/2014, 02:20

... L-Lipschitzian mappings in stead of the assumption that T is a uniformly L-Lipschitzian and asymptotically pseudocontractive mapping in a Banach space Our results not only correct some mistakes appeared ... Journal of Mathematical Analysis and Applications, vol 158, no 2, pp 407–413, 1991 [3] S.-S Chang, Some results for asymptotically pseudo-contractive mappin...

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... and algorithm of solutions for mixed quasi-variational-like inclusions in Banach spaces, Computers & Mathematics with Applications 49 (2005), no 5-6, 857–869 16 Iterative algorithm for solving ... and inspired by the work in [1], we consider and study a class of mixed quasi-variational-like inequality problems in the setting of Banach spaces Let D be a nonempty...

Ngày tải lên: 22/06/2014, 22:20

... differential equations with nonlinear boundary conditions, Appl Math Comput 153 (2004), no 3, 793– 802 T Jankowski, Monotone iterative technique for differential equations with nonlinear boundary conditions, ... conditions, Nonlinear Stud (2001), no 3, 381–388 , Ordinary differential equations with nonlinear boundary conditions, Georgian Math J (2002), no 2, 287–29...

Ngày tải lên: 23/06/2014, 00:20

... 2275–2283 J Y Wang and J Jiang, The existence of positive solutions to a singular nonlinear boundary value problem, J Math Anal Appl 176 (1993), no 2, 322–329 Ruyun Ma: Department of Mathematics, Northwest ... Normal University, Lanzhou 730070, China E-mail address: mary@maths.uq.edu.au Yulian An: Physical Software & Engineering, Lanzhou Jiaotong University, Lanzhou 730070,...

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... C Castaing, L X Truong, Second order differential conclusions with m-point boundary conditions, J Nonlinear Convex Anal to appear [6] C Castaing, P Raynaud de Fitte and M Valadier, Young measures ... functional differential equations of arbitrary orders, Nonlinear Anal 33 (1998), 181-186 [11] A M A El-Sayed, Sh A Abd El-Salam, Nonlocal boundary value problem of a fractiona...

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