**Communications
in Applied Analysis**

**Volume 1,
1997**

CONTENTS

D.Bainov, E Minchev and A. Myshkis

Periodic boundary value problems for impulsive hyperbolic systems

1

M. HaussAn Euler-Maclaurin-type formula involving conjugate Bernoulli

polynomials and an application

15

D. O'ReganExistence theory for (Ø(y'))' = qf(t,y,y'), 0<t<1

33

J. Henderson and E.R. KaufmannMultiple positive solutions for focal boundary value problems

53

D.K. Palagachev and V. RomanoExistence and uniqueness of asymptotic wave

solutions for the hydrodynamical model of semiconductors

61

J. Ferreira and N.A. Lar'kinDecay of solutions of nonlinear hyperbolic-parabolic

equations in noncylindrical domains

75

S.S. Cheng, S.T. Liu and B.G. ZhangPositive flows of an infinite network

83

M. Guedda, M. Kirane and N. TatarAsymptotic behavior of solutions to a diffusive Volterra equation

91

L.A.V. Carvalho and S.A.S. MarconatoOn dichotomic maps for differential equations with piecewise continuous

argument (EPCA)

103

L.A.F. de OliveiraExponential decay in thermoelasticity

113C. Li, W. Yang and G.A. WatsonA variation of varisolvent L1 approximation

119A.S.A. Al-Hammadi

Resonant perturbations for generalised harmonic oscillation

131R. U. Verma

Nonlinear variational inequalities involving relaxed monotone operators

149D. Jaruszewska--Walczak

On impulsive parabolic differential-functional inequalities

155B. J. Harmsen

The (2,2) focal discrete variational problem

167R. Amato

Solvability of the normal derivative problem for nonlinear nonvariational

elliptic systems

185

D. L. Hicks, J. W. Swegle and S. W. Attaway

Discrete-numerical instabilities in SPH computational material

hyperdynamics stabilized by conservative smoothing

191

E. Binz

Structural capillarity, equilibrium configurations and vibrational modes of

an idealized skin made up by finitely many particles

213M. I. Gil

Freezing method for evolution equations

245

P. Daniele

Duality theory for variational inequalities

257R. P. Agarwal and D. O'Regan

Multipoint boundary value problems for general discrete systems:

the degenerate case

269J. K. Kim and B. J. Jin

On the existence and uniqueness of solutions for nonlinear

differential equations in probabilistic normed spaces.

291G. A. Anastassiou

Shape and probability preserving univariate wavelet type operators

303A. C. Morlet

Some further results for a one-dimensional transport equation

with nonlocal flux

315

M. Reimer

Randon-transform, Laplace-series and matrix-transforms

337E. Minchev and I. E. Okoroafor

Present state of the qualitative theory of the impulsive

partial differential equations

351

O. Axelsson and M. Nikolova

A generalized conjugate gradient minimum residual method (GCG-MR) with variable

preconditioners and a relation between residuals of the GCG-MR and GCG-OR methods

371A. T. Cousin, C. L. Frota, N. A. Lar’kin and L. A. Medeiros

On the abstract model of the Kirchhoff-Carrier equation

389M. Nikic and H. M. Srivastava

Certain classes of analytic functions and some inequalities

in the algebra C(T)

405

G. Buttazzo and L. Faina

Existence for optimal control problems governed by noncoercive

417D. Bainov and A. Dishliev

The phenomenon "beating" of the solutions of impulsive functional differential equations

435T. Chatelain and M. Choulli

Clarke generalized gradient for eigenvalues

443

M. Aslam Noor

Auxiliary principle technique for generalized multivalued variational inequalities

455M. Camacho and P. Gonzalez-Vera

Pade-type approximation to Chebyshev series

465L. Brutman and N. Nowominski

Third-order modifications of Bairstow’s method

479

Ph. Laurencot and F. Simondon

Source-type solutions to porous medium equations with convection

489M. R. Ohm

W^{1}_{infinity}- estimates of optimal orders for Galerkin methods to one dimensional Stefan problems

503

R. Medina and M. Pinto

Asymptotic equivalence and asymptotic behavior of difference systems

511S. K. Ntouyas and P. Ch. Tsamatos

On the solvability of a boundary value problem for a second order differential equation with deviating arguments

525J. Arango and H. Grabmuller

Wrinkle-free deformations of curved circular elastic membranes with an unloaded apex

539

V. N. Kyurchiev

On the optimal fast calculation of the solution of an elliptic equation

565

Volume Contents

575Author Index

579