Editor: CONTENTS

Proceedings of the Eighth International Colloquium on Differential Equations Plovdiv, Bulgaria, 18-23 August, 1997

Editor: D. Bainov

UNIVERSITATSBIBLIOTHEK HANNOVER TECHNISCHE INFORMATIONSBIBLIOTHEK

///VSP/// Utrecht, The Netherlands, 1998

CONTENTS Preface Professor Antonino Maugeri awarded Ixrith the prize of the International Colloquia on Differential Equations 50th Anniversary of Prof. P. Popivanov D. Bainov

XI

xm XV

Study of the Ince Equation id. Amar and B. Tounsi Trace Formula for the Sturm-Liouville Operator with Singularity R. Kh. Amirov and Y. Qakmak Inverse Spectral Problem for the Differential Equation of the Second Order with Singularity R. Kh. Amirov and S. Giilyaz

17

Application of the Laplace, Mellin and Stieltjes Transformations in the Evaluation of Integrals A. Apelblat

25

Asynchronous Multisplitting Algorithms for Differential-Algebraic Systems Discretized by Runge-Kutta Methods J. Bahi and J.-C. Miellou

35

Forced Oscillations of Solutions of Parabolic Equations of Neutral Type with Maxima D. Bainov and E. Minchev

43

On the Stability of Solutions of Impulsive Parabolic Differential-Functional Equations D. Bainov and E. Minchev

51

Approximate Analysis of Non-Cyclic Multi-Queue Systems with Batch Markovian Arrival Streams D. Baum

57

Nonlocal Problems Modelling the Formation of Shear Bands J. Bebernes

67

|Solution of the Dirichlet Problem for Laplace Equation on Domains | with Analytic Boundaries |S» Belov and N. Fujii

73

Contents

111-Conditioning in Optimal Control Computation F. Benyah and L. S. Jennings

81

Differentiability of Solutions of an Electro-Elasticity Model w.r.t. Parameters N.D. Botkin

89

Efficient and Accurate Local Time Stepping Algorithm for Multi-Rate Problems L. Cao and J. Zhu

97

Improving Laguerre's Method to Cope with Symmetry Pitfalls in Polynomial Root-Finding Tien Chi Chen

105

A Nonlinear Wave Equation with Jumping Nonlinearity Q.H. Choi and T. Jung

111

Regular Solutions and Stability for the Nonlinear Thermoviscoelastic System with Nonlinear Damping on the Boundary A.T. Cousin, C.L. Frota and N.A. Lar'kin

119

Analytical Solutions of the Navier-Stokes Equation for the Laminar and Turbulent Boundary Layer, Over a Flat Plate L. D'Attorre

127

Solving Singular Integral Equations J.H. de Klerk

137

Asynchronous Multisplitting Methods with Flexible Communication for Pseudolinear P.D.E. D. El Baz, P. Spiteri and J.-C. Miellou

145

On the Approximation of an Infinite-Dimensional Linear Programming Problem M. H. Farahi

153

Partial Holder Continuity Results for Solutions of non Linear non Variational Elliptic Systems with Strictly Controlled Growth L. Fattorusso and G. Hone

161

A Structured Approach to Toeplitz and Toeplitz-like Linear Systems with Applications to (semi) Elliptic Problems G. Fiorentino

169

Finding Voxels Shared by a Ray and a Linear Octree /. Gargantini and J-Y Liu

179

Existence and Uniqueness Theorem for an Oblique Derivative Problem for Nonlinear Elliptic Discontinuous Operators in the Plane S. Giuffre

187

Contents

Special Functions in Fractional Relaxation-Oscillation and Fractional Diffusion-Wave Phenomena R. Gorenflo, F. Mainardi and H.M. Srivastava

195

Mathematical Modelling of Immunization Programs for Hepatitis A in Bulgaria D. Greenhalgh

203

Complete-Integrable Calogero Dynamics for Random Matrix Theories H. Hasegawa

211

On Optimal Order of Approximation from Bivariate Spline Spaces D. Hong

219

Solitary-wave Solution of Turbulence with Application to Benard Convection K. Ishibashi, S. Tsuge and T.M.S. Nakagawa

227

Hermite Rational Matrix Approximation of Riccati Differential Equations L. Jodar and E. Defez

237

A Construction of Jordan Superalgebras from Triple Systems N. Kamiya and S. Okubo

243

Small Amplitude Fundamental Periodic Solutions on a Piecewise Linear Differential Equation A'. Katori, M. Otake, Y. Manome and T. Mishima

247

Monotonicity Methods for Stability Analysis of the Characteristic Polynomials Whose Coefficients are Polynomials T. Kawamura and M. Shima

253

Employing Transform Orthogonality in the Determination of Integral Identities Involving Arbitrary Functions V. Kowatenko

261

Parallel Algorithm for Construction of Singular Surfaces in Linear Differential Games S.S. Kumkov and V.S. Patsko

275

Algorithms and Software for Selfadjoint ODE Eigenproblems C.R. Maple and M. Marietta

285

£2'A-Theory for Nonvariational Basic Parabolic Systems M. Marino and A. Maugeri

293

A New Approach to the Description of Deep Water Waves Using Fractional Derivatives A'. Matsuuchi

301

Application of a Spectral Finite Difference Scheme to a Complex Configuration Y. Mochimaru

311

Contents

A New Minimum Curvature Multi-Step Method for Unconstrained Optimization I.A.R. Moghrabi and S.E. Obeid

319

Towards a Real RealRAM: a Prototype Using C++ N. Th. Muller

327

Asymptotic Behaviour of Solutions of an Impulsive Semilinear Parabolic Cauchy Problem K. Nakagawa

335

Error Estimates of Optimal Orders for One Dimensional Stefan Problems M.-R. Ohm

341

Optimal Checking in Reliability Theory E. Omey

347

Integration of Some Constitutive Relations of Plain Strain Elastoplasticity Using Block-Embedded Modified Runge-Kutta Methods G. Papakaliatakis and T.E. Simos

355

Numerical Study of the Homicidal Chauffeur Game V.S. Patsko and V.L. Turova

363

Nonlocal Regularization of Protter Problem for the 3-D Tricomi Equation N.I. Popivanov and M. Schneider

373

Blow Up and Singularities of the Solutions of Homogeneous Quasilinear Hyperbolic Systems in the Plane P. Popivanov and A. Slavova

379

Dirichlet Problem in Morrey Spaces for Elliptic Equations in Non Divergence Form with VMO Coefficients M.A. Ragusa

385

On the Calculation of Lyapunov and Moment Lyapunov Exponents for Noise Driven Coupled Oscillators N. Sri Namachchivaya and H.J. Van Roessel

391

A Unified Theory of Some Families of Elliptic Integrals Arising in Radiation Field and Other Problems H.M. Srivastava

399

Computing Derivatives of Eigenvectors Corresponding to Multiple Eigenvalues of Nonsymmetric Matrix Functions R. C. E. Tan and A. L. Andrew

409

Error Estimate of Elliptic Integral by Chebyshev Collocation Method A'. Tsuji

415

Construction of Singularities for Nonlinear Wave Equations M. Tsuji

423

Contents

IX

Iterative Methods for Total Least Squares Problems T. Yang

431

Theoretical Performance Analysis of the IQMR Method on Distributed Memory Computers with Different Network Topologies T. Yang and H.-X. Lin

441

Optimal Control of Certain M-D Systems S.A. Belbas

451

Optimal Control of Discrete-Time Approximations to Systems with Hysteresis S.A. Belbas and I.D. Mayergoyz

457