Communications in Applied Analysis, Volume 1, 1997

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. Hauss
An Euler-Maclaurin-type formula involving conjugate Bernoulli
polynomials and an application

15

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

33

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

53

D.K. Palagachev and V. Romano
Existence and uniqueness of asymptotic wave
solutions for the hydrodynamical model of semiconductors

61

J. Ferreira and N.A. Lar'kin
Decay of solutions of nonlinear hyperbolic-parabolic
equations in noncylindrical domains

75

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

83

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

91

L.A.V. Carvalho and S.A.S. Marconato
On dichotomic maps for differential equations with piecewise continuous
argument (EPCA)

103

L.A.F. de Oliveira
Exponential decay in thermoelasticity

113

C. Li, W. Yang and G.A. Watson
A variation of varisolvent L1 approximation
119

A.S.A. Al-Hammadi
Resonant perturbations for generalised harmonic oscillation
131

R. U. Verma
Nonlinear variational inequalities involving relaxed monotone operators
149

D. Jaruszewska--Walczak
On impulsive parabolic differential-functional inequalities
155

B. J. Harmsen
The (2,2) focal discrete variational problem
167

R. 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
213

M. I. Gil
Freezing method for evolution equations
245

P. Daniele
Duality theory for variational inequalities
257

R. P. Agarwal and D. O'Regan
Multipoint boundary value problems for general discrete systems:
the degenerate case
269

J. K. Kim and B. J. Jin
On the existence and uniqueness of solutions for nonlinear
differential equations in probabilistic normed spaces.
291

G. A. Anastassiou
Shape and probability preserving univariate wavelet type operators
303

A. C. Morlet
Some further results for a one-dimensional transport equation
with nonlocal flux
315

M. Reimer
Randon-transform, Laplace-series and matrix-transforms
337

E. 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
371

A. T. Cousin, C. L. Frota, N. A. Lar’kin and L. A. Medeiros
On the abstract model of the Kirchhoff-Carrier equation
389

M. 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
417

D. Bainov and A. Dishliev
The phenomenon "beating" of the solutions of impulsive functional differential equations
435

T. Chatelain and M. Choulli
Clarke generalized gradient for eigenvalues
443

M. Aslam Noor
Auxiliary principle technique for generalized multivalued variational inequalities
455

M. Camacho and P. Gonzalez-Vera
Pade-type approximation to Chebyshev series
465

L. 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
489

M. R. Ohm
W¹_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
511

S. K. Ntouyas and P. Ch. Tsamatos
On the solvability of a boundary value problem for a second order differential equation with deviating arguments
525

J. 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
575

Author Index
579

D.Bainov, E Minchev and A. Myshkis Periodic boundary value problems for impulsive hyperbolic systems	1
M. Hauss An Euler-Maclaurin-type formula involving conjugate Bernoulli polynomials and an application	15
D. O'Regan Existence theory for (Ø(y'))' = qf(t,y,y'), 0<t<1	33
J. Henderson and E.R. Kaufmann Multiple positive solutions for focal boundary value problems	53
D.K. Palagachev and V. Romano Existence and uniqueness of asymptotic wave solutions for the hydrodynamical model of semiconductors	61
J. Ferreira and N.A. Lar'kin Decay of solutions of nonlinear hyperbolic-parabolic equations in noncylindrical domains	75
S.S. Cheng, S.T. Liu and B.G. Zhang Positive flows of an infinite network	83
M. Guedda, M. Kirane and N. Tatar Asymptotic behavior of solutions to a diffusive Volterra equation	91
L.A.V. Carvalho and S.A.S. Marconato On dichotomic maps for differential equations with piecewise continuous argument (EPCA)	103
L.A.F. de Oliveira Exponential decay in thermoelasticity	113
C. Li, W. Yang and G.A. Watson A variation of varisolvent L1 approximation	119
A.S.A. Al-Hammadi Resonant perturbations for generalised harmonic oscillation	131
R. U. Verma Nonlinear variational inequalities involving relaxed monotone operators	149
D. Jaruszewska--Walczak On impulsive parabolic differential-functional inequalities	155
B. J. Harmsen The (2,2) focal discrete variational problem	167
R. 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	213
M. I. Gil Freezing method for evolution equations	245
P. Daniele Duality theory for variational inequalities	257
R. P. Agarwal and D. O'Regan Multipoint boundary value problems for general discrete systems: the degenerate case	269
J. K. Kim and B. J. Jin On the existence and uniqueness of solutions for nonlinear differential equations in probabilistic normed spaces.	291
G. A. Anastassiou Shape and probability preserving univariate wavelet type operators	303
A. C. Morlet Some further results for a one-dimensional transport equation with nonlocal flux	315
M. Reimer Randon-transform, Laplace-series and matrix-transforms	337
E. 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	371
A. T. Cousin, C. L. Frota, N. A. Lar’kin and L. A. Medeiros On the abstract model of the Kirchhoff-Carrier equation	389
M. 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	417
D. Bainov and A. Dishliev The phenomenon "beating" of the solutions of impulsive functional differential equations	435
T. Chatelain and M. Choulli Clarke generalized gradient for eigenvalues	443
M. Aslam Noor Auxiliary principle technique for generalized multivalued variational inequalities	455
M. Camacho and P. Gonzalez-Vera Pade-type approximation to Chebyshev series	465
L. 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	489
M. R. Ohm W¹_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	511
S. K. Ntouyas and P. Ch. Tsamatos On the solvability of a boundary value problem for a second order differential equation with deviating arguments	525
J. 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	575
Author Index	579