**Communications in
Applied Analysis**

**Volume 9, 2005**

CONTENTS

A. Beaulieu

Asymptotic behavior of the eigenvalues of the linearized Ginzburg-Landau operator

1J. M. Machado and M. F. Borges

Quaternion functions and four-dimensional Riemannin metrics

15Y. Q. Chen, Y. J. Cho, and S. M. Kang

Periodic solutions for nonlinear evolution equations with small perturbations

33D. L. Denny

Solutions for a model of low-speed flow for fluids with capillary effects

43S. Y. Hsu

Extinction profile of solutions of a singular diffusion equation

67K. Farahmand and A. Nezakati

Algebraic polynomials with dependent random coefficients

95N. Apreutesei

Some second order difference equations in Hilbert spaces

105K. Yamuchi

On an underlying structure for the consistency of viscosity solutions

117P. Guha

Euler-Poincare formalism of coupled Kdv type systems and diffeomorphism group on S1

131Q. H. Choi and H. Xu

The Study of a Wave Equation with Jumping Nonlinearity by Duality Formulation

147M. Conti, V. Pata, and M. Squassina

Strongly Damped Wave Equations on R3 with Critical Nonlineraities

161R. Bartolo and A. Germinorio

Timelike Spatially Closed Trojectories under a Potential on Splitting Lorentzian Manifolds

177Y. Wang and P. Wang

Interval Oscillation for a Class of Second Order Nonlinear Differential Equation with Damped

207J. M. Machado and M. F. Borges

Complexified Fueter Opertors in Classical and Quantum Electrodynamics

213Z. Kamont and A. Ndolski

Stability of Nonlinear Functional Difference Equations and Applications

227F. M. Dannan

Fibonacci Q-type Matrices and Properties of a Class of Numbers Related to the Fibonacci, Lucas and Pell Numbers

247M. S. Petkovic and D. M. Milosevic

Laguerre-like Methods for the Simultaneous Inclusion of Multiple Zeros of Polynomials

263A. Kristaly, V. V. Motreanu, and Cs Varga

A Minimax Principle with a General Palais-smale Condition

285E.N. Petropoulou and P.D. Siafarikas

Analytic Solutions of the Painlev'e Equations

299B. Ahmad, R. Ali Khan, S. Sivasundaram

$K$-th Order Monotone Iterative Scheme for Boundary Value Problems

Associated with Second Order Nonlinear Functional Differential Equations

317Z. Sun

Note on Exponentially Growing Solutions for the Schrodinger Equations

327M.A. Ragusa

Quasilinear Equations with Discontinuous Coefficients

337P. Wang K.L. Teo and Y. Liu

Forced Oscillation of Nonlinear Impulsive Parabolic Differential Equations of Neutral Type

343P.S. Simeonov

Oscillation of the Solutions of Second Order Retarded Impulsive Differential Equations

353S.-H. Sheu and S.-L. Yu

Optimization with Bathtub Failure Rate and Discounted Purchasing Cost

369J. Hounie

A Note on the Mihlin-Hormander Multiplier Theorem

381P.S. Simeonov

A Comparison Theorem and Oscillation of the Solutions of Differential

Equations with Retarded Arguments Depending on the Unknown Function

389P.S. Simeonov

On the Oscillatory and Asymptotic Behaviour of Third Order Retarded Differential Equations

397A. Boucherif} and J.J. Nieto

Periodic Boundary Value Problems for Impulsive First Order Differential Inclusions

409N.T. Markova and P.S. Simeonov

Oscillation Theorems for n-th Order Nonlinear Differential Equations with

Forcing Terms and Deviating Arguments Depending on the Unknown Function

417E. R. Kaufmann and N. Kosmatov

Analytic solutions of the Painleve equations

429S. Nadarajah

Convolutions of the half pearson type VII distribution

443H. Xu and Q. H. Choi

Nontrivial solutions of a nonlinear wave equation with jumping nonlinearity

465S. Takagi

Renormalized dissipative solutions for quasilinear Anistropic degenerate parabolic equations

481K. Narukawa and T. Suzuki

Inhomogeneous elliptic equation associated with critical Sobolev exponent

505N. T. Markova and P. S. Simeonov

Oscillation criteria for first order nonlinear differential equations with retarded arguments

527I. Al-Subaihi and G. A. Watson

Algebraic fitting of quadric surfaces to data

539S. B. Hosseini and R. Saadati

Completeness results in probabilistic metric spaces, I

549S. Nadarajah and K. Mitov

Moments and L-moments of the linear hazard function distribution

555