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  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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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