**Communications in
Applied Analysis**

**Volume 13, 2009**

CONTENTS

Cemil TuncA New Boundedness Result to Nonlinear Differential Equations Of Third Order with Finite Lag

1Bashir AhmadApproximation of Solutions of the Forced Duffing Equation with M_point Boundary Conditions

11Bashir Ahmad and S. SivasundaramStability in Terms of Two Measures for Perturbed Dynamic Integro_differential Equations on Time Scales

21Mohamed Abdalla Darwish and Sotiris K. NtouyasBoundary Value Problems for Fractional Functional Differential Equations of Mixed Type

31Donal O’reganContinuation Theorems for Acyclic Maps in Topological Spaces

39Raghib M. Abu_saris and Neda’a K. Al_jubouriOn the Periodicity of Lozi’s Equation

47Chunping Liao and Haiping YeOn the Solution of a Nonlinear Fractional Functional Differential Equation

57Bapurao C. DhageFirst Order Functional Integro_differential Inclusions with Periodic Boundary Conditions

71Said R. Grace, Ravi P. Agarwal, and Sandra PinelasOn the Oscillations of Fourth Order Functional Differential Equations

93Zbigniew Walczak and R. N. MohapatraRate of Convergence F Two_dimensional Analogoue Of Baskakov Operators

105Mouffak Benchohra and Naima HamidiExistence Results for Fractional Order Integral Equations of Mixed Type in Frechet Spaces

111Bashir Ahmad and S. SivasundaramExistence and Uniqueness Results for Nonlinear Boundary Value Problems of Fractional Differential Equations with Separated Boundary Conditions

121John A. D. Appleby, Terry Lynch, Xuerong Mao, and Huizhong WuThe Size of the Largest Fluctuations in a Market Model With Markovian Switching

135Fariborz AsadianExtension of Stochastic Integral in Banach Space

167Henri SchurzNew Stochastic Integrals, Oscillation Theorems and Energy Identities

181Irina V. Melnikova and Alexei FilinkovAbstract Stochastic Problems With Generators of Regularized Semigroups

195S. Sathananthan and Mahmoud AnabtawiControllability And Practical Stabilization Of Nonlinear Ito-Type Stochastic Controlled Systems

213Shuya KanagawaNumerical Analysis Of Reflecting Brownian Motion and a New Model of Semi-Reflecting Brownian Motion With Some Domains

231N. G. Medhin and Wei WanCompetitive Advertising in a Duopoly: A Stochastic Differential Game Approach

245N. U. Ahmed and S. KerbalStochastic Dynamic Model for Porous Media Equation Describing Underground Resources

271Marin SchechterWave Equations That are Radially Symmetric

287N. Costea and V. RadulescuExistence Results for Hemivariational Inequalities Involving Relaxed 0!" Monotone Mappings

293M.E. Filippakis, D. O’Regan and N.S. PapageorgiouMultiple Solutions for Noncoercive Resonant Neumann Hemivariational Inequalities

305A. Kristaly, D. O’Regan and C. VargaParameterized Nonlinear Equations on Dirichlet Forms

317J. ChabrowskiOn the Neumann Problem with Singular and Superlinear Nonlinearities

327D. Motreanu, V.V. Motreanu and N.S. PapageorgiouMultiple Solutions for Dirichlet Problems Which are Superlinear at + 4 and Sublinear at ! 4

341L. Lassoued and A. MaalaouiExistence Results to !ª

_{p}u= V (x)f(u) in a Bounded Domain of ú^{d}

359F. O. De PaivaPairs of Solutions of Asymptotically Linear Elliptic Problems

375D. O’ReganMultiplicity Results for Sublinear and Superlinear Hammerstein Integral Equations via Morse Theory

385M. DegiovanniCritical Groups of Finite Type for Functionals Defined on Banach Spaces

395R. Livrea and S.A. MaranoOn the Min-Max Principle for Non-smooth Functions and Applications

411I. B. Omrane and M. DammakA Generalized Four Dimensional Emden-Fowler Equation with Exponential Nonlinearity

431S. Liu, E. Medeiros and K. PereraMultiplicity Results for p-Biharmonic Problems via Morse Theory

447Gennaro Infante and Paolamaria PietramalaProfessor Espedito De Pascale

457Jurgen Appell"On revient toujours a son premier amour'': On the mathematical work of E. De Pascale

461Francesco Altomare, Vita Leonessa and Sabina MilellaCores for second-order differential operators on real intervals

477Pierluigi Benevieri, Alessandro Calamai, Massimo Furi and Maria Patrizia PeraFast forced oscillations for constrained motion problems with delay

497Alessandro Calamai, Massimo Furi and Alfonso VignoliAn overview on spectral theory for nonlinear operators

509Paola Cavaliere and Paolo de LuciaSome new results in non-additive measure theory

535Thierry Champion, Luigi De Pascale and Chloe JimenezThe 4-eigenvalue problem and a problem of optimal transportation

547Patrizia Daniele, Sofia Giuffre and Antonino MaugeriRemarks on general infinite dimensional duality with cone and equality constraints

567Pier Luigi PapiniCovering the sphere and the ball in Banach spaces

579J. R. L. WebbBoundary value problems with vanishing Green's function

587Michele Campiti and Cristian TacelliPerturbations of Bernstein-Durrmeyer operators on the simplex and best approximation properties

597Mirella Cappelletti Montano and Sabrina DiomedeModified Bernstein-Schnabl operators on convex compact subsets of locally convex spaces and their limit semigroups

609Victoria Martin-MarquezNonexpansive mappings and monotone vector fields in Hadamard manifolds

633Giuseppe Riey and Giuseppe TomassettiMicropolar linearly elastic rods

647Halis YilmazDifferential invariants for nonlinear PDEs

659Miroslawa ZimaPositive solutions for first-order boundary value problems at resonance

671Content

681Author Index

685