Differential-Difference EquationsBellman Academic Press, 1963. jan. 1. - 461 oldal Differential-Difference Equations |
Tartalomjegyzék
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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 |
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Other RAND Books | 463 |
Chapter 9 Asymptotic Behavior of linear DifferentialDifference Equations | 265 |
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Gyakori szavak és kifejezések
absolutely convergent advanced type apply approaches zero Assume asymptotic behavior asymptotic series asymptotically stable Bellman bounded variation Chapter characteristic function characteristic roots class C1 coefiicients Consider the equation constant continuous derivative continuous function continuous solution contour deduce defined denote differential equations differential-difference equations discussion E. M. Wright equation of retarded equation u’(t equations of neutral Exercise existence and uniqueness Exponential Polynomials find finite interval finite number first formula function f Functional Equations given Hence infinite initial condition integral equation Iu(t Laplace transform Lemma Let u(t Math matrix method N. G. de Bruijn neutral type nonlinear number of zeros obtain positive number problem proof prove residue retarded type root chains satisfies the equation scalar equation sequence series expansion Show solution u(t sufiicient condition Suppose theory tion uniformly bounded vector zero solution zeros of h(s