Differential-Difference EquationsBellman Academic Press, 1963. jan. 1. - 461 oldal Differential-Difference Equations |
Tartalomjegyzék
1 | |
27 | |
42 | |
Chapter 4 Series Expansions of Solutions of Firstorder Equations of Retarded Type | 98 |
Chapter 5 Firstorder Linear Equations of Neutral and Advanced Type with Constant Coefficients | 139 |
Chapter 6 Linear Systems of DifferentialDifference Equations with Constant Coefficients | 164 |
Chapter 7 The Renewal Equation | 216 |
Chapter 8 Systems of Renewal Equations | 257 |
Chapter 10 Stability of Solutions of linear DifferentialDifference Equations | 300 |
Chapter 11 Stability Theory and Asymptotic Behavior for Nonlinear DifferentialDifference Equations | 334 |
Chapter 12 Asymptotic Location of the Zeros of Exponential Polynomials | 393 |
Chapter 13 On Stability Properties of the Zeros of Exponential Polynomials | 440 |
Author Index | 457 |
Subject Index | 460 |
Other RAND Books | 463 |
Chapter 9 Asymptotic Behavior of linear DifferentialDifference Equations | 265 |
Más kiadások - Összes megtekintése
Gyakori szavak és kifejezések
absolutely convergent apply approach zero Assume asymptotic behavior asymptotic series b₁ b₁u(t Bellman bou(t bounded variation c₁ c₂ Chapter characteristic roots class C¹ Consider the equation continuous function continuous solution contour deduce defined denote differential equations differential-difference equations discussion dt₁ dtı E. M. Wright equation u'(t equations of neutral Exercise finite interval finite number formula Functional Equations Hence initial condition integral equation Laplace transform Lemma line Re(s Math matrix method N. G. de Bruijn neutral type nonlinear number of zeros obtain ordinary differential equations po(s positive number problem proof prove residue root chains scalar equation Show solution u(t Stability sufficient condition Suppose t₁ theory tion u₁(t un(t uniformly bounded uo(t values vector w₁ zeros of h(s