Communications in Applied Analysis, Volume 2, 1998

Communications in Applied Analysis

Volume 2, 1998

CONTENTS

M. Chipot and A. Ellatifi
Regularity results for nonlocal variational inequalities

1

J. Turo
Approximate solutions to a class of stochastic functional evolution equations

11

V. Barbu and A. Favini
Periodic solutions to degenerte second order differential equations in Hilbert space

19

A. Zettl
On the Friedrichs extension of singular differential operators

31

J. S. Asvestas, B. Bielefeld, Y. Deng, J. Glimm, S. Simanca and F. Tangerman
Electromagnetic scattering from large cavities: iterative methods

37

H. M. Srivastava, M. A. Pathan and M. Kamarujjama
Some unified presentations of the generalized Voigt functions

49

D. Kannan, A. H. Tsoi and Bo Zhang
Practical stability in p-th mean and controllability of Levy flow

65

P. Secchi
Inflow-outflow problems for inviscid compressible fluids

81

B. Zubik-Kowal
The line method for impulsive functional partial differential equations of first order

111

V. A. Petrov
Nonoscillatory solutions of neutral differential equations with "maxima"

129

T. U. Verma
Nonlinear monotone variational inequalities

151

C. Morosanu and D. Motreanu
An extension of the nonlinear parabolic equation in Caginalp’s model

159

G. Walz
Splines with free knots, the heat equation, and the Gauss

169

F. Zeilfelder
Hermite interpolation by periodic splines with equidistant knots

183

D. Bainov, E. Minchev and I. Stamova
Present state of the stability theory for impulsive differential equations

197

Guo Ben-yu and Wang Yuan-ming
Almost monotone approximation to a nonlinear system

227

S. Cerrai
Differentiability with respect to initial datum for solutions of SPDE’s with no
Frechet differentiable drift term

249

S. Cerrai
Kolmogorov equations in Hilbert spaces with non smooth coefficients

271

L. Berezansky and L. Idels
Exponential stability of some scalar impulsive delay differential equations

301

D. Borwein and A. Jakimovski
A generalization of Hardy’s inequality with applications

309

H. M. Srivastava, A. K. Mishra and M. K. Das
A nested class of analytic functions defined by fractional calculus

321

T. Oishi and M. Tsutsumi
Identifiability of spatially-varying coefficients in the (generalized) Korteweg-de Vries equations

333

D. Goeleven and D. Motreanu
Asymptotic eigenvalues and spectral analysis of variational inequalities

343

V. Doddaballapur and P. W. Eloe
Monotone and quadratic convergence of approximate solutions of ordinary
differential equations with impulse

373

S. C. Gao N. H. Pavel and N. Schirrmeister
Optimal control of a functional equation associated with closed range operators

383

Y. Giga and K. Ito
On pinching of curves moved by surface diffusion

393

Y. Censor and S. Reich
The Dykstra algorithm with Bregman projections

407

D. Bainov, E. Minchev and A. Rauh
Finite time singularities of solutions of initial-boundary value problem for the
Davey-Stewartson system

421

G. Da Prato
Perturbations of Ornstein-Uhelenbeck transition semigroups by a subquadratic potential

431

S. R. Grace, A. A. Abadeer and H. A. El-Morshedy
On the Oscillation of certain second order difference equations

447

Charles K. Chui and Johan M. Dee Villiers
Spline-wavelets with arbitrary knots on a bounded interval:
Orthogonal decomposition and computational algorithms

457

Donal O’Regan
Multivalued integral equations in finite and infinite dimensions

487

Paul W. Eloe and Johnny Henderson
Singular nonlinear multipoint conjugate boundary value problems

497

L. F. Shampine and J. Kierzenka
Solving dae’s with inconsistent initial conditions

513

Doug Anderson
A 2nth order linear difference equation

521

Laura Chisano and Pierluigi Colli
Positive kernel and zero time relaxation in a phase field model with memory

531

J. R. Graef and C. Qian
Asymptotic behavior of forced delay equations with periodic coefficients

551

Eduardo Liz and Juan J. Nieto
Positive solutions of linear impulsive differential equations

565

M. Marras, S. Mohammed and G. Porru
Differential inequalities for minkowski functionals of level sets

573

Sofia Giuffre
Oblique derivative problem for nonlinear elliptic discontinuous operators in the plane

585

M. Chipot and A. Ellatifi Regularity results for nonlocal variational inequalities	1
J. Turo Approximate solutions to a class of stochastic functional evolution equations	11
V. Barbu and A. Favini Periodic solutions to degenerte second order differential equations in Hilbert space	19
A. Zettl On the Friedrichs extension of singular differential operators	31
J. S. Asvestas, B. Bielefeld, Y. Deng, J. Glimm, S. Simanca and F. Tangerman Electromagnetic scattering from large cavities: iterative methods	37
H. M. Srivastava, M. A. Pathan and M. Kamarujjama Some unified presentations of the generalized Voigt functions	49
D. Kannan, A. H. Tsoi and Bo Zhang Practical stability in p-th mean and controllability of Levy flow	65
P. Secchi Inflow-outflow problems for inviscid compressible fluids	81
B. Zubik-Kowal The line method for impulsive functional partial differential equations of first order	111
V. A. Petrov Nonoscillatory solutions of neutral differential equations with "maxima"	129
T. U. Verma Nonlinear monotone variational inequalities	151
C. Morosanu and D. Motreanu An extension of the nonlinear parabolic equation in Caginalp’s model	159
G. Walz Splines with free knots, the heat equation, and the Gauss	169
F. Zeilfelder Hermite interpolation by periodic splines with equidistant knots	183
D. Bainov, E. Minchev and I. Stamova Present state of the stability theory for impulsive differential equations	197
Guo Ben-yu and Wang Yuan-ming Almost monotone approximation to a nonlinear system	227
S. Cerrai Differentiability with respect to initial datum for solutions of SPDE’s with no Frechet differentiable drift term	249
S. Cerrai Kolmogorov equations in Hilbert spaces with non smooth coefficients	271
L. Berezansky and L. Idels Exponential stability of some scalar impulsive delay differential equations	301
D. Borwein and A. Jakimovski A generalization of Hardy’s inequality with applications	309
H. M. Srivastava, A. K. Mishra and M. K. Das A nested class of analytic functions defined by fractional calculus	321
T. Oishi and M. Tsutsumi Identifiability of spatially-varying coefficients in the (generalized) Korteweg-de Vries equations	333
D. Goeleven and D. Motreanu Asymptotic eigenvalues and spectral analysis of variational inequalities	343
V. Doddaballapur and P. W. Eloe Monotone and quadratic convergence of approximate solutions of ordinary differential equations with impulse	373
S. C. Gao N. H. Pavel and N. Schirrmeister Optimal control of a functional equation associated with closed range operators	383
Y. Giga and K. Ito On pinching of curves moved by surface diffusion	393
Y. Censor and S. Reich The Dykstra algorithm with Bregman projections	407
D. Bainov, E. Minchev and A. Rauh Finite time singularities of solutions of initial-boundary value problem for the Davey-Stewartson system	421
G. Da Prato Perturbations of Ornstein-Uhelenbeck transition semigroups by a subquadratic potential	431
S. R. Grace, A. A. Abadeer and H. A. El-Morshedy On the Oscillation of certain second order difference equations	447
Charles K. Chui and Johan M. Dee Villiers Spline-wavelets with arbitrary knots on a bounded interval: Orthogonal decomposition and computational algorithms	457
Donal O’Regan Multivalued integral equations in finite and infinite dimensions	487
Paul W. Eloe and Johnny Henderson Singular nonlinear multipoint conjugate boundary value problems	497
L. F. Shampine and J. Kierzenka Solving dae’s with inconsistent initial conditions	513
Doug Anderson A 2nth order linear difference equation	521
Laura Chisano and Pierluigi Colli Positive kernel and zero time relaxation in a phase field model with memory	531
J. R. Graef and C. Qian Asymptotic behavior of forced delay equations with periodic coefficients	551
Eduardo Liz and Juan J. Nieto Positive solutions of linear impulsive differential equations	565
M. Marras, S. Mohammed and G. Porru Differential inequalities for minkowski functionals of level sets	573
Sofia Giuffre Oblique derivative problem for nonlinear elliptic discontinuous operators in the plane	585