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  1. 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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  2. 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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  3. 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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  4. 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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  5. 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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  6. 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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  7. 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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  8. 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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  9. 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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  10. Content type: Research Article

    The inequality discovered by L. K. Hua in 1965 has been generalized in several directions. In this paper, we adopt a certain conjugate method to give a simple and fundamental inequality on two functions on a s...

    Authors: Hiroyuki Takagi, Takeshi Miura, Tadashi Kanzo and Sin-Ei Takahasi

    Citation: Journal of Inequalities and Applications 2005 2005:150678

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