The existence and the continuation of holomorphic solutions for convolution equations in a half-space in Cn

Chapters in this book

1. Frontmatter I
2. CONTENTS V
3. Preface XI
4. Identifying the Jordan canonical form and associated non-singular transformations 1
5. Forward dynamic programming for the numerical solution of parabolic control problems 9
6. Optimal control of Goursat systems over varying domains 17
7. On Newton's problem under side constraints 23
8. Parameters estimation of some electro-elasticity models 31
9. A nonlinear suspension bridge equation 39
10. Uniqueness in the Cauchy problem for the heat equation 49
11. Existence and uniqueness of solutions for a class of abstract nonlinear wave equation 57
12. Asymptotic expansions for some classical operators and their use in approximation theory 67
13. Some over-determined boundary-value problems for hyperbolic equations 75
14. On asymptotic properties in a neighbourhood of infinity of solutions of elliptic equations 81
15. Further development of minimum curvature multi-step quasi-Newton methods 85
16. Some results about boundary conditions for a discrete model in elasticity 93
17. On local and global solvability of nonlinear mixed problems modelling vibrations of a string 101
18. Poincare-Bendixson type theorems for n dimensional spaces 109
19. The effect of heterogeneity in sharing rates and choice of shooting gallery on the spread of HIV amongst sharing injecting drug users 115
20. Nontrivial solutions for a fourth order O.D.E. with singular boundary conditions 123
21. The limiting problem in a double free boundary problem 131
22. On a Lienard system with three equilibrium points 139
23. Re-examination on validity of analytic solution of Bessel's equation to estimate the magnitude of fluctuation of stem wood temperature in standing Pinus densiflora trees 147
24. Some modernizations the Gronwall-Bellman Lemma and its application to differential equations with delay 155
25. Numerical analysis of pseudozeros and pseudospectra 165
26. Characterization of the holomorphy of infinite dimensional domains by Oka's principle 173
27. Numerical analysis on 8-problem and extension of holomorphic functions from lower dimensional subvarieties 181
28. On triple systems and Yang-Baxter equations 189
29. On continuation of Gevrey class solutions of linear partial differential equations 197
30. Convergence properties of periodic solutions on a piecewise linear differential equation 205
31. Norm estimates for Schrodinger semigroups with magnetic fields 213
32. On linear differential equations for fractional order 221
33. Differentiability for nonlinear parabolic systems 231
34. Extension of holomorphic mappings into manifolds with weak disc property 237
35. Global instability of natural convection in an elliptic cavity, using a Fourier spectral difference method 243
36. Capacity associated with an a-parabolic operator 253
37. Martin Boundary at Infinity for the Heat Equation 261
38. A general form of a mean value property for poly-temperatures on a strip domain 269
39. Cohomology vanishing and q-convex functions on infinite dimensional domains 277
40. The existence and the continuation of holomorphic solutions for convolution equations in a half-space in Cn 283
41. Solvability and propagation of singularities for some class of microdifferential equations in the spaces of micro-distributions 289
42. Rapidly varying behaviour of the solutions of a second order linear differential equation 295
43. Stability of Lie groups of the perturbed non-linear wave equation 305
44. Application of weighted ranking methods for tie-break simulations 313
45. Chaotic mixing of viscous fluids: a marangoni-convection-driven example 321
46. Numerical solutions to the minimum-time problem for linear second-order conflict-controlled systems 329
47. Nonlinear thermoelasticity and symmetry 339
48. Saddle point methods in spatial models of biological systems 347
49. The asymptotic spatial behaviour of a class of epidemic models 355
50. A generalized diffusion equation 363
51. Analysis of a degenerate Hopf bifurcation in a PID controlled CSTR 371
52. On the arithmetic properties of the modular function induced from the hypergeometric differential equation of type (3,6) 381
53. Caloric morphisms and a generalization of the Appell transformation 389
54. Boundary behaviors of some families of special functions 395
55. On a coordinate transformation to express an explicit duck solution in the FitzHugh-Nagumo equation 405
56. On the completeness of the eigenfunctions of elliptic operators 409
57. An algorithm for high accuracy product in redundant representation 413
58. Round-off errors in floating-point solutions for Chebyshev collocation points 421
59. Identification of density distribution due to one-codimensional projected figures 429
60. Differential inequalities concerning nonlinear systems 437
61. Decay for some second order nonlinear systems 441
62. On a priori bound for nonconvolutional integral equations 449
63. A pointwise error estimate for distributed parameter identification 455