Hindawi Publishing Corporation Boundary Value Problems Volume 2010, Article ID 268946, 13 pages pot

... in 13 , we know that Φ satisfies PS condition, and Φ is even due to f 1 . Hence, the conclusion follows f rom Theorem 9.12 in 16. Hindawi Publishing Corporation Boundary Value Problems Volume ... Corporation Boundary Value Problems Volume 2010, Article ID 268946, 13 pages doi:10.1155/2010/268946 Research Article Multiplicity of Nontrivial Solutions for...

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... G  F n  z  ∀z ∈ S N−1 , ζ n  1, z   z ∀z ∈ S N−1 , 4.42 provided n ≥ n 0 . This completes the proof. 10 Boundary Value Problems Moreover, we have 1   N | ∇w 0 | 2  w 2 0  N q  z  w p 0 <  N | ∇w 0 | 2  ... α ∞ and  N  | ∇  s 0 w 0 | 2   s 0 w 0  2  dz   N q ∞  s 0 w 0  p dz ≥ 2p p − 2 α ∞ . 4.1 Boundary Value Problems 13 From 4.17 and 4....

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... s  φ q   s 0 −a  r  f  x  r  ,x  μ  r   ∇r  ∇s Hindawi Publishing Corporation Boundary Value Problems Volume 2011, Article ID 279752, 11 pages doi:10.1155/2011/279752 Research Article Positive Solutions for ... boundary value problems for ordinary differential equations and finite difference equations,” Computers & Mathematics with Applications, vol....

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... Θ  T 0 V  s  H  s  Δs. 2.22 Hindawi Publishing Corporation Boundary Value Problems Volume 2011, Article ID 867615, 17 pages doi:10.1155/2011/867615 Research Article Multiple Positive Solutions ... solutions for some second-order boundary value problems, ” Computers & Mathematics with Applications, vol. 48, no. 5-6, pp. 699–707, 2004. 12 Boundary Value...

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... of P.R.China no. 11071048. Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2010, Article ID 175369, 11 pages doi:10.1155/2010/175369 Research Article Some Starlikeness ... no. 11, pp. 137 0 137 7, 1977. 3 R. Fournier, “On integrals of bounded analytic functions in the closed unit disc,” Complex Variables. Theory and Application, vol. 11, n...

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... 2, pp. 251–258, 1996. Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2010, Article ID 329378, 15 pages doi:10.1155/2010/329378 Research Article A Mathematical ... predominant, but there has been also considered the case of the left skewed income distributions. We also identify what are the most preferred taxes of the individuals and the corr...

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... Hermite- Hadamard inequality 1.1. Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2010, Article ID 531976, 7 pages doi:10.1155/2010/531976 Research Article Fej ´ er-Type Inequalities ... convex, increasing on 0, 1 and 2 .13 holds. Remark 2.8. Let gx1/b − ax ∈ a, b in Theorem 2.7. Then NtPtt ∈ 0, 1 and the inequality 2 .1...

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... −3 2  4  1/2 . 3.26 Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2010, Article ID 591758, 10 pages doi:10.1155/2010/591758 Research Article Ordering Unicyclic ... eigenvalues λ 1 G,λ 2 G, ,λ n G are real, and we assume that λ 1 G ≥ λ 2 G ≥···≥λ n G.Wecallλ n G the least eigenvalue of G. Up to now, some good results on the...

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... Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2010, Article ID 850125, 12 pages doi:10.1155/2010/850125 Research Article On Integral Operators with Operator-Valued ... This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provi...

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... kc  ,t∈  0, 1  . 2.17 Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2010, Article ID 126192, 8 pages doi:10.1155/2010/126192 Research Article Existence of Solution ... three- point boundary value problems, ” Nonlinear Analysis. Theory, Methods & Applications, vol. 68, no. 10, pp. 3151–3158, 2008. 6 B. Hopkins and N. Kosmatov, “Thir...

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