Erbe L.H., Kong Q., Zhang B.G. — Oscillation Theory for Functional Differential Equations :: Электронная библиотека попечительского совета мехмата МГУ

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Erbe L.H., Kong Q., Zhang B.G. — Oscillation Theory for Functional Differential Equations

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Название: Oscillation Theory for Functional Differential Equations

Авторы: Erbe L.H., Kong Q., Zhang B.G.

Аннотация:

This valuable reference examines the latest developments in the oscillatory and nonoscillatory properties of solutions for functional differential equations, clearly presenting basic oscillation theory as well as up-to-the-minute results;many previously unpublished.

Язык:

Рубрика: Математика/Анализ/Дифференциальные уравнения/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1995

Количество страниц: 482

Добавлена в каталог: 06.04.2005

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Предметный указатель

Arzela — Ascoli lemma      9
Banach contraction      11
Boundary value problem for singular equations      452
Boundary value problem, formulation of      6
Boundary value problem, second order      414
Deviation      2
Differential inequality      15
Distribution of zeros      31
Equation with forced terms      76
Equation with mixed coefficients      175
Equation with nonlinear neutral terms      191 278 347
Equation with oscillatory coefficients      40
Equation with positive and negative coefficients      45
Equation with several delays      50
Equation with variable coefficients      110 135
Equation, advanced type      2 284
Equation, characteristic      5 97
Equation, delay      2 5 26
Equation, first order      14
Equation, functional      6
Equation, higher order      288
Equation, neutral      2 95
Equation, singular      452
Equation, stable type      15
Equation, sublinear      168
Equation, unstable type      37 160 255 357
Fixed point theorem      8
Fixed Point theorem, Knaster      12
Fixed Point theorem, Krasnoselskii      11
Fixed Point theorem, Schauder — Tychonov      10
Fixed Point theorem, Schauder’s      10

Initial function      2 4
Initial set      2
Initial value problem      2 4
Leray — Schauder      13 429
Lipschitz conditions      415
Nagumo condition      422
Nonoscillation      5
Nonoscillatory      4
Oscillation      4 5
Oscillation of even order equations      317
Oscillation of odd order equations      302
Oscillation, criteria      226
Oscillation, forced      71 197 272
Oscillation, linearized      185
Oscillatory coefficients      40
Oscillatory solutions      4
Population models, delay logistic      76
Population models, generalized delay logistic      80 87
Solution      4
Solution, bounded      39
Solution, classification of      324
Solution, eventually negative      4 23
Solution, eventually positive      4 16 23
Solution, existence of nonoscillatory      400
Solution, existence of oscillatory      210 340
Solution, positive      26
Sturm Comparison theorems      219
systems      374
Systems with matrix coefficients      377 389
Systems, comparison with scalar equations      396
Topological transversality      13 441

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