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  1. Content type: Research Article

    A mixed problem with a boundary Dirichlet condition and nonlocal integral condition is considered for a two-dimensional elliptic equation.The existence and uniqueness of a weak solution of this problem are pro...

    Authors: Givi Berikelashvili

    Citation: Journal of Inequalities and Applications 2006 2006:93858

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  2. Content type: Research Article

    We establish some complements of Cauchy's inequality on time scales. These results extend some inequalities given by Cargo, Diaz, Goldman, Greub, Kantorovich, Makai, Metcalf, Pólya, Rheinboldt, Schweitzer, and...

    Authors: Cheh-Chih Yeh, Huei-Lin Hong, Horng-Jaan Li and Shiueh-Ling Yu

    Citation: Journal of Inequalities and Applications 2006 2006:97430

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  3. 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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  4. 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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  5. 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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  6. 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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  7. 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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  8. 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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  9. 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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  10. 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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  11. 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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  12. 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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  13. 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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  14. 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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  15. 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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  16. 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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  17. 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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  18. 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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  19. 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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  20. 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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  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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