Communications in Applied Analysis, Volume 9, 2005

Communications in Applied Analysis

Volume 9, 2005

CONTENTS

A. Beaulieu
Asymptotic behavior of the eigenvalues of the linearized Ginzburg-Landau operator
1

J. M. Machado and M. F. Borges
Quaternion functions and four-dimensional Riemannin metrics
15

Y. Q. Chen, Y. J. Cho, and S. M. Kang
Periodic solutions for nonlinear evolution equations with small perturbations
33

D. L. Denny
Solutions for a model of low-speed flow for fluids with capillary effects
43

S. Y. Hsu
Extinction profile of solutions of a singular diffusion equation
67

K. Farahmand and A. Nezakati
Algebraic polynomials with dependent random coefficients
95

N. Apreutesei
Some second order difference equations in Hilbert spaces
105

K. Yamuchi
On an underlying structure for the consistency of viscosity solutions
117

P. Guha
Euler-Poincare formalism of coupled Kdv type systems and diffeomorphism group on S1
131

Q. H. Choi and H. Xu
The Study of a Wave Equation with Jumping Nonlinearity by Duality Formulation
147

M. Conti, V. Pata, and M. Squassina
Strongly Damped Wave Equations on R3 with Critical Nonlineraities
161

R. Bartolo and A. Germinorio
Timelike Spatially Closed Trojectories under a Potential on Splitting Lorentzian Manifolds
177

Y. Wang and P. Wang
Interval Oscillation for a Class of Second Order Nonlinear Differential Equation with Damped
207

J. M. Machado and M. F. Borges
Complexified Fueter Opertors in Classical and Quantum Electrodynamics
213

Z. Kamont and A. Ndolski
Stability of Nonlinear Functional Difference Equations and Applications
227

F. M. Dannan
Fibonacci Q-type Matrices and Properties of a Class of Numbers Related to the Fibonacci, Lucas and Pell Numbers
247

M. S. Petkovic and D. M. Milosevic
Laguerre-like Methods for the Simultaneous Inclusion of Multiple Zeros of Polynomials
263

A. Kristaly, V. V. Motreanu, and Cs Varga
A Minimax Principle with a General Palais-smale Condition
285

E.N. Petropoulou and P.D. Siafarikas
Analytic Solutions of the Painlev'e Equations
299

B. Ahmad, R. Ali Khan, S. Sivasundaram
$K$-th Order Monotone Iterative Scheme for Boundary Value Problems
Associated with Second Order Nonlinear Functional Differential Equations
317

Z. Sun
Note on Exponentially Growing Solutions for the Schrodinger Equations
327

M.A. Ragusa
Quasilinear Equations with Discontinuous Coefficients
337

P. Wang K.L. Teo and Y. Liu
Forced Oscillation of Nonlinear Impulsive Parabolic Differential Equations of Neutral Type
343

P.S. Simeonov
Oscillation of the Solutions of Second Order Retarded Impulsive Differential Equations
353

S.-H. Sheu and S.-L. Yu
Optimization with Bathtub Failure Rate and Discounted Purchasing Cost
369

J. Hounie
A Note on the Mihlin-Hormander Multiplier Theorem
381

P.S. Simeonov
A Comparison Theorem and Oscillation of the Solutions of Differential
Equations with Retarded Arguments Depending on the Unknown Function
389

P.S. Simeonov
On the Oscillatory and Asymptotic Behaviour of Third Order Retarded Differential Equations
397

A. Boucherif} and J.J. Nieto
Periodic Boundary Value Problems for Impulsive First Order Differential Inclusions
409

N.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
417

E. R. Kaufmann and N. Kosmatov
Analytic solutions of the Painleve equations
429

S. Nadarajah
Convolutions of the half pearson type VII distribution
443

H. Xu and Q. H. Choi
Nontrivial solutions of a nonlinear wave equation with jumping nonlinearity
465

S. Takagi
Renormalized dissipative solutions for quasilinear Anistropic degenerate parabolic equations
481

K. Narukawa and T. Suzuki
Inhomogeneous elliptic equation associated with critical Sobolev exponent
505

N. T. Markova and P. S. Simeonov
Oscillation criteria for first order nonlinear differential equations with retarded arguments
527

I. Al-Subaihi and G. A. Watson
Algebraic fitting of quadric surfaces to data
539

S. B. Hosseini and R. Saadati
Completeness results in probabilistic metric spaces, I
549

S. Nadarajah and K. Mitov
Moments and L-moments of the linear hazard function distribution
555

A. Beaulieu Asymptotic behavior of the eigenvalues of the linearized Ginzburg-Landau operator	1
J. M. Machado and M. F. Borges Quaternion functions and four-dimensional Riemannin metrics	15
Y. Q. Chen, Y. J. Cho, and S. M. Kang Periodic solutions for nonlinear evolution equations with small perturbations	33
D. L. Denny Solutions for a model of low-speed flow for fluids with capillary effects	43
S. Y. Hsu Extinction profile of solutions of a singular diffusion equation	67
K. Farahmand and A. Nezakati Algebraic polynomials with dependent random coefficients	95
N. Apreutesei Some second order difference equations in Hilbert spaces	105
K. Yamuchi On an underlying structure for the consistency of viscosity solutions	117
P. Guha Euler-Poincare formalism of coupled Kdv type systems and diffeomorphism group on S1	131
Q. H. Choi and H. Xu The Study of a Wave Equation with Jumping Nonlinearity by Duality Formulation	147
M. Conti, V. Pata, and M. Squassina Strongly Damped Wave Equations on R3 with Critical Nonlineraities	161
R. Bartolo and A. Germinorio Timelike Spatially Closed Trojectories under a Potential on Splitting Lorentzian Manifolds	177
Y. Wang and P. Wang Interval Oscillation for a Class of Second Order Nonlinear Differential Equation with Damped	207
J. M. Machado and M. F. Borges Complexified Fueter Opertors in Classical and Quantum Electrodynamics	213
Z. Kamont and A. Ndolski Stability of Nonlinear Functional Difference Equations and Applications	227
F. M. Dannan Fibonacci Q-type Matrices and Properties of a Class of Numbers Related to the Fibonacci, Lucas and Pell Numbers	247
M. S. Petkovic and D. M. Milosevic Laguerre-like Methods for the Simultaneous Inclusion of Multiple Zeros of Polynomials	263
A. Kristaly, V. V. Motreanu, and Cs Varga A Minimax Principle with a General Palais-smale Condition	285
E.N. Petropoulou and P.D. Siafarikas Analytic Solutions of the Painlev'e Equations	299
B. Ahmad, R. Ali Khan, S. Sivasundaram $K$-th Order Monotone Iterative Scheme for Boundary Value Problems Associated with Second Order Nonlinear Functional Differential Equations	317
Z. Sun Note on Exponentially Growing Solutions for the Schrodinger Equations	327
M.A. Ragusa Quasilinear Equations with Discontinuous Coefficients	337
P. Wang K.L. Teo and Y. Liu Forced Oscillation of Nonlinear Impulsive Parabolic Differential Equations of Neutral Type	343
P.S. Simeonov Oscillation of the Solutions of Second Order Retarded Impulsive Differential Equations	353
S.-H. Sheu and S.-L. Yu Optimization with Bathtub Failure Rate and Discounted Purchasing Cost	369
J. Hounie A Note on the Mihlin-Hormander Multiplier Theorem	381
P.S. Simeonov A Comparison Theorem and Oscillation of the Solutions of Differential Equations with Retarded Arguments Depending on the Unknown Function	389
P.S. Simeonov On the Oscillatory and Asymptotic Behaviour of Third Order Retarded Differential Equations	397
A. Boucherif} and J.J. Nieto Periodic Boundary Value Problems for Impulsive First Order Differential Inclusions	409
N.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	417
E. R. Kaufmann and N. Kosmatov Analytic solutions of the Painleve equations	429
S. Nadarajah Convolutions of the half pearson type VII distribution	443
H. Xu and Q. H. Choi Nontrivial solutions of a nonlinear wave equation with jumping nonlinearity	465
S. Takagi Renormalized dissipative solutions for quasilinear Anistropic degenerate parabolic equations	481
K. Narukawa and T. Suzuki Inhomogeneous elliptic equation associated with critical Sobolev exponent	505
N. T. Markova and P. S. Simeonov Oscillation criteria for first order nonlinear differential equations with retarded arguments	527
I. Al-Subaihi and G. A. Watson Algebraic fitting of quadric surfaces to data	539
S. B. Hosseini and R. Saadati Completeness results in probabilistic metric spaces, I	549
S. Nadarajah and K. Mitov Moments and L-moments of the linear hazard function distribution	555