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Basic properties of Sobolev's spaces on time scales

Technology , Melbourne, FL 32901, USA E-mail address: , USA 2 Ravi P. Agarwal: Department of Mathematical Sciences, Florida Institute of Technology , Melbourne, FL 32901, USA E-mail address: , USA We study

Maximal regular boundary value problems in Banach-valued weighted space

Hindawi Publishing Corporation Boundary Value Problems MAXIMAL REGULAR BOUNDARY VALUE PROBLEMS IN BANACH-VALUED WEIGHTED SPACE RAVI P. AGARWAL MARTIN BOHNER VELI B. SHAKHMUROV This study focuses on ... , Florida, 2000 . Ravi P. Agarwal : Department of Mathematical Sciences, Florida Institute of Technology , Melbourne, FL 32901 -6975, USA E-mail address: agarwal@fit .edu Martin Bohner: Department of

A Leray-Schauder alternative for weakly-strongly sequentially continuous weakly compact maps

Waterloo , ON , Canada N2L 3G1 E-mail address: 1 Donal O'Regan: Department of Mathematics, National University of Ireland , Galway , Ireland E-mail address: 2 Ravi P. Agarwal: Department of Mathematical

Multiple positive solutions of singular discrete p-Laplacian problems via variational methods

: Department of Mathematical Sciences, Florida Institute of Technology , Mel- bourne, FL 32901, USA E-mail address: 2 Ravi P. Agarwal: Department of Mathematical Sciences, Florida Institute of Technology , Mel

On the oscillation of certain third-order difference equations

Hindawi Publishing Corporation Advances in Difference Equations RAVI P. AGARWAL SAID R. GRACE DONAL O'REGAN We establish some new criteria for the oscillation of third-order difference equations ... properties of higher order nonlinear difference equations , Nonlinear Anal . 31 ( 1998 ), no. 3 - 4 , 493 - 502 . Ravi P. Agarwal : Department of Mathematical Sciences, Florida Institute of Technology

Oscillation criteria for first-order forced nonlinear difference equations

. Grace: Department of Engineering Mathematics, Faculty of Engineering, Cairo University , Orman, Giza 12221, Egypt E-mail address: 2 Ravi P. Agarwal: Department of Mathematical Sciences, Florida Institute

A positive solution for singular discrete boundary value problems with sign-changing nonlinearities

Mathematics, College of Sciences, Hohai University , Nanjing 210098, China E-mail address: 1 Ravi P. Agarwal: Department of Mathematical Sciences, College of Science, Florida Institute of Technology , Melbourne

A positive solution for singular discrete boundary value problems with sign-changing nonlinearities

Mathematics, College of Sciences, Hohai University , Nanjing 210098, China E-mail address: 1 Ravi P. Agarwal: Department of Mathematical Sciences, College of Science, Florida Institute of Technology , Melbourne

General existence principles for nonlocal boundary value problems with φ-Laplacian and their applications

Staneˇk: Department of Mathematical Analysis, Faculty of Science, Palacky ́ University , Tomkova 40, 779 00 Olomouc , Czech Republic E-mail address: 1 Ravi P. Agarwal: Department of Mathematical Sciences

General existence principles for nonlocal boundary value problems with φ-Laplacian and their applications

The paper presents general existence principles which can be used for a large class of nonlocal boundary value problems of the form (φ(x′))′=f1(t,x,x′)

Linear functional differential equations possessing solutions with a given growth rate

Hindawi Publishing Corporation Journal of Inequalities and Applications LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS POSSESSING SOLUTIONS WITH A GIVEN GROWTH RATE RAVI P. AGARWAL ANDREI RONT O´ We ... . , Brno , 2003 , pp. 235 - 246 . A. Ronto ´ , Bounds for the spectrum of compact linear operators in a preordered Banach space , to appear in Abstr. Appl. Anal. Ravi P. Agarwal: Department of Mathematical

New Integral Inequalities for Iterated Integrals with Applications

Some new nonlinear retarded integral inequalities of Gronwall type are established. These inequalities can be used as basic tools in the study of certain classes of integrodifferential equations.

Fixed points of cone compression and expansion multimaps defined on Fréchet spaces: The projective limit approach

Hindawi Publishing Corporation Journal of Applied Mathematics and Stochastic Analysis Volume 2006 0 Ravi P. Agarwal: Department of Mathematical Sciences, Florida Institute of Technology , Melbourne

Fixed points of cone compression and expansion multimaps defined on Fréchet spaces: The projective limit approach

Hindawi Publishing Corporation Journal of Applied Mathematics and Stochastic Analysis Volume 2006 0 Ravi P. Agarwal: Department of Mathematical Sciences, Florida Institute of Technology , Melbourne

Leray-Schauder results for multivalued nonlinear contractions defined on closed subsets of a Fréchet space

New Leray-Schauder results are presented for multivalued contractions defined on subsets of a Fréchet space E. The proof relies on fixed point results in Banach spaces and on viewing E as the projective limit of a sequence of Banach spaces.

Leray-Schauder results for multivalued nonlinear contractions defined on closed subsets of a Fréchet space

New Leray-Schauder results are presented for multivalued contractions defined on subsets of a Fréchet space E. The proof relies on fixed point results in Banach spaces and on viewing E as the projective limit of a sequence of Banach spaces.

Dead Core Problems for Singular Equations with -Laplacian

: Department of Mathematical Analysis, Faculty of Science, Palacky ́ University , Tomkova 40, 779 00 Olomouc , Czech Republic 1 Ravi P. Agarwal: Department of Mathematical Sciences, Florida Institute of

Generalized Second-Order Mixed Symmetric Duality in Nondifferentiable Mathematical Programming

Applications, Thapar University, Patiala 147 004, India Received 30 December 2010; Accepted 24 January 2011 Academic Editor: Elena Litsyn Copyright © 2011 Ravi P. Agarwal et al. This is an open access ... duality in mathematical programming can be further extended to higher-order multiobjective symmetric dual programs formulated in [19]. Acknowledgments Ravi P. Agarwal and Izhar Ahmad are thankful to the

Super-Relaxed ( )-Proximal Point Algorithms, Relaxed ( )-Proximal Point Algorithms, Linear Convergence Analysis, and Nonlinear Variational Inclusions

-monotonicity, and then applying to firstorder evolution equations/inclusions. Correspondence should be addressed to Ravi P; Agarwal; agarwal@fit; edu 1. Introduction and Preliminaries 0 ∈ M x , where M : X