E-raamat: Integral Methods in Science and Engineering

Preface Invited papers 3(18) D. Colton A brief introduction to inverse scattering theory 3(6) M. Paukshto On some applications of integral equations in elasticity 9(12) Contributed papers R. Ahasan S. Vayrynen H. Virokannas A mathematical model for the estimation of heat stress and sweat loss 21(6) R. Ahasan S. Vayrynen H. Virokannas Prediction of permissible workload using fuzzy mathematics 27(5) Yu. A. Baloshin A.V. Kostin An approach to the exterior Dirichlet problem in R(2) with applications to wave scattering 32(6) I.V. Boikov Iterative methods of solution for integral equations with convolution 38(5) L.P. Castro Integral equations of convolution type on union of intervals 43(5) A. Charafi D.R. Matravers On the use of radial basis functions in boundary integral equation methods 48(5) I. Chudinovich A. Lytova Boundary equations in mixed problems for the Maxwell system 53(5) C. Constanda Robin-type conditions in plane strain 58(5) R.F. Day Boundary integral simulation of a finite inviscid jet P.B. Dubovski A uniqueness theorem for a Boltzmann equation arising in coagulation-fragmentation dynamics V.A. Geyler A.V. Popov Hofstadters butterfly for a periodic array of quantum dots 74(5) S. Heikkila Existence results for first order discontinuous differential equations of general form 79(5) J.V. Horak On solvability and approximation of 1D models of coupled thermoelasticity 84(6) A. Kirjanen Stabilisation of a linear control system via input independent of the present time 90(4) V.P. Korobeinikov D.V. Vorobiev Analysis of the critical states of physical systems by means of integral relations and catastrophe theory 94(5) A. Koshchii Some non-classical dual variational principles and a posteriori error estimates for elliptic boundary value problems 99(5) A. Krasnikovs J. Varna L.A. Berglund Transverse crack opening displacement calculations in cross-ply and angle-ply laminated specimens 104(6) I.A. Kuzin A remark on the number of solutions to critical and supercritical semilinear problems with non-zero right-hand sides 110(4) M. Laitinen Radiation heat transfer in absorbing, emitting and scattering media 114(5) A.B. Muravnik On weighted norm estimates for the mixed Fourier-Bessel transforms of non-negative functions 119(5) A. Nastase Qualitative analysis of partial differential equations of the three-dimensional compressible boundary layer via spectral solutions 124(5) G.A. Nesenenko Effect of focusing on catacaustics of irregular heat fields in composites with moving boundaries 129(5) S. Nomura Thermoelastic analysis of functionally graded materials 134(5) D. Poljak V. Roje The integral equation method for ground wire input impedance 139(5) A. Reinfelds Decoupling of impulsive differential equations in a Banach space 144(5) R. Rikards E. Barkanov A. Chate A. Korjakin Modelling, damping analysis and optimisation of sandwich and laminated composite structures 149(6) O. Roman On the maximal symmetry group and exact solutions of non-linear higher order wave equations 155(5) V. Al. Sava An initial boundary value problem for the equations of plane flow of a micro-polar fluid in a time-dependent domain 160(5) I. Shirinskaya M. Belyi Discrete analogues of boundary integral equations for boundary value problems in solid mechanics 165(4) A.S. Silbergleit G.M. Keiser On eddy currents from moving point sources of magnetic field in the Gravity Probe B experiment 169(5) S.L. Skorokhodov V.I. Vlasov An exact method for torsion and bending problems for beams with polygonal cross-sections 174(5) Tadie Steady vortex rings in an ideal fluid: asymptotics for variational solutions 179(6) Tadie Solutions of semilinear elliptic problems based only on weak supersolutions 185(5) G.R. Thomson C. Constanda On stationary oscillations in bending of plates 190(5) T. Tiihonen A non-local problem arising from heat radiation on non-convex surfaces 195(5) P.E. Tovstik Asymptotic methods in the problem of large axisymmetric deflections of a thin elastic shell of revolution 200(6) V. Tretnyk Discrete symmetries and the reduction of the two-body Dirac equations with interactions 206(4) N. Virchenko On some new types of multiple integral equations and their applications 210(5) D.B. Volkov-Bogorodsky On integration of Fuchs-class equations with four singular points in connection with a conformal mapping problem 215(5) V.V. Zalipaev M.M. Popov Asymptotic analysis of wave scattering on a periodic boundary 220(5) B. Zhang S.N. Chandler-Wilde An integral equation method for electromagnetic scattering by an inhomogeneous layer on a perfectly conducting plate 225(5) O. Yu. Zharii Singular integral equations of the theory of ultrasonic motors and their solutions 230

Constanda, Christian; Saranen, Jukka; Seikkala, S