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  1. Content type: Research Article

    We study nonlinear ODE problems in the complex Euclidean space, with the right-hand side being polynomial with nonconstant periodic coefficients. As the coefficients functions, we admit only functions with van...

    Authors: Andrei Borisovich and Wacław Marzantowicz

    Citation: Journal of Inequalities and Applications 2006 2006:42908

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  2. Content type: Research Article

    We give some necessary and sufficient conditions for the class of Appell polynomials to satisfy well-known Turan's inequality. Among the other corollaries, we apply our results to some classes of orthogonal po...

    Authors: Slavko Simic

    Citation: Journal of Inequalities and Applications 2006 2006:91420

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  3. Content type: Research Article

    Picone-type inequalities are established for nonlinear elliptic equations which are generalizations of nonself-adjoint linear elliptic equations, and Sturmian comparison theorems are derived as applications. O...

    Authors: Jaroslav Jaroš, Kusano Takaŝi and Norio Yoshida

    Citation: Journal of Inequalities and Applications 2006 2006:52378

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  4. Content type: Research Article

    We prove that the projection operator on a nonempty closed convex subset http://static-content.springer.com/image/art%3A10.1155%2FJIA.2005.509/MediaObjects/13660_2003_Article_1561_IEq1_HTML.gif of a uniformly convex Banach spaces is uniformly continuous on ...

    Authors: Jean-Paul Penot

    Citation: Journal of Inequalities and Applications 2005 2005:921970

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  5. Content type: Research Article

    This paper deals with the problem of estimating the deviation of the values of a function from its mean value. We consider the following special cases: (i) the case of random variables (attached to arbitrary p...

    Authors: Aurelia Florea and Constantin P Niculescu

    Citation: Journal of Inequalities and Applications 2005 2005:714694

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  6. Content type: Research Article

    We analyze the univalence of the solutions of the biharmonic equation. In particular, we show that if http://static-content.springer.com/image/art%3A10.1155%2FJIA.2005.469/MediaObjects/13660_2004_Article_1541_IEq1_HTML.gif is a biharmonic map in the form

    Authors: Z AbdulHadi, Y Abu Muhanna and S Khuri

    Citation: Journal of Inequalities and Applications 2005 2005:642561

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  7. Content type: Research Article

    We deal with a theoric question raised in connection with the application of a three-critical points theorem, obtained by Ricceri, which has been already applied to obtain multiplicity results for boundary val...

    Authors: Giuseppe Cordaro

    Citation: Journal of Inequalities and Applications 2005 2005:432707

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  8. Content type: Research Article

    The purpose of this paper is to introduce the concept of fuzzy variational-like inequalities and to study the existence problem and the iterative approximation problem for solutions of certain kinds of fuzzy v...

    Authors: SS Chang, D O'Regan, KK Tan and LC Zeng

    Citation: Journal of Inequalities and Applications 2005 2005:201653

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  9. Content type: Research Article

    Using the notion of inferior mean due to M. Heins, we establish two inequalities for such a mean relative to a positive harmonic function defined on the open unit ball or half-space in ...

    Authors: Yevgenya Movshovich

    Citation: Journal of Inequalities and Applications 2005 2005:913098

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  10. Content type: Research Article

    We prove that a Jordan homomorphism from a Banach algebra into a semisimple commutative Banach algebra is a ring homomorphism. Using a signum effectively, we can give a simple proof of the Hyers-Ulam-Rassias s...

    Authors: Takeshi Miura, Sin-Ei Takahasi and Go Hirasawa

    Citation: Journal of Inequalities and Applications 2005 2005:735242

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  11. Content type: Research Article

    Some new Gronwall-Ou-Iang type integral inequalities in two independent variables are established. These integral inequalities can be applied as tools to the study of certain class of integral and differential...

    Authors: Wing-Sum Cheung and Qing-Hua Ma

    Citation: Journal of Inequalities and Applications 2005 2005:541438

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  12. Content type: Research Article

    We apply a fixed point result for multifunctions to derive existence results for boundary value problems of Sturm-Liouville differential equations with nonlinearities that may involve discontinuous and functio...

    Authors: S Carl and S Heikkilä

    Citation: Journal of Inequalities and Applications 2005 2005:317549

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  13. Content type: Research Article

    We give a Grüss-type inequality which is a refinement of a result due to Dragomir and Agarwal. We also give its applications for the moments of random variables, guessing mappings, and Ozeki's inequality.

    Authors: Saichi Izumino, Josip E Pečarić and Božidar Tepeš

    Citation: Journal of Inequalities and Applications 2005 2005:918685

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  14. Content type: Research Article

    We introduce and study a new class of generalized nonlinear implicit quasivariational inclusions involving relaxed Lipschitzian mappings. We prove the existence of solution for the generalized nonlinear implic...

    Authors: Ya-Ping Fang, Nan-Jing Huang, Jung Im Kang and Yeol Je Cho

    Citation: Journal of Inequalities and Applications 2005 2005:915890

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  15. Content type: Research Article

    We introduce and study a new class of generalized nonlinear variational-like inequalities, which includes these variational inequalities and variational-like inequalities due to Bose, Cubiotti, Dien, Ding, Din...

    Authors: Zeqing Liu, Jeong Sheok Ume and Shin Min Kang

    Citation: Journal of Inequalities and Applications 2005 2005:634163

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  16. Content type: Research Article

    The implicit function theorem asserts that there exists a ball of nonzero radius within which one can express a certain subset of variables, in a system of equations, as functions of the remaining variables. W...

    Authors: Marco Papi

    Citation: Journal of Inequalities and Applications 2005 2005:373250

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  17. Content type: Research Article

    We establish optimal, in a sense, unique solvability conditions of the Cauchy problem for a wide class of linear functional differential equations in a Banach space with a solid wedge. The conditions are formu...

    Authors: Andrei Rontó and Jiří Šremr

    Citation: Journal of Inequalities and Applications 2005 2005:348549

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  18. Content type: Research Article

    We study Carrier's equation in a noncylindrical domain. We use the penalty method combined with Faedo-Galerkin and compactness arguments. We obtain results of the existence and uniqueness of the local solution.

    Authors: Tania Nunes Rabello and Maria Cristina De Campos Vieira

    Citation: Journal of Inequalities and Applications 2005 2005:313250

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  19. Content type: Research Article

    We consider a natural correspondence between a family of inequalities and a closed convex set. As an application, we give new types of power mean inequalities and the Hölder-type inequalities.

    Authors: Sin-Ei Takahasi, Yasuji Takahashi, Shizuo Miyajima and Hiroyuki Takagi

    Citation: Journal of Inequalities and Applications 2005 2005:964140

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  20. Content type: Research Article

    We first prove local weighted Poincaré-type inequalities for differential forms. Then, by using the local results, we prove global weighted Poincaré-type inequalities for differential forms in John domains, wh...

    Authors: Gao Hongya and Zhang Hua

    Citation: Journal of Inequalities and Applications 2005 2005:867306

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  21. Content type: Research Article

    The well-known Krasnoselskii twin fixed point theorem is used to investigate the existence of mild solutions for first- and second-order impulsive semilinear functional and neutral functional differential equa...

    Authors: M Benchohra, J Henderson, SK Ntouyas and A Ouahab

    Citation: Journal of Inequalities and Applications 2005 2005:357614

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