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Start Over Descriptor "Functional differential equation" Publisher springer new york
38 results on '"Functional differential equation"'

2. Introduction to Functional Differential Equations

Author

Guo, Shangjiang, Wu, Jianhong, Antman, Stuart, Editor-in-chief, Greengard, Leslie, Series editor, Holmes, Philip, Series editor, Keener, James, Series editor, Sreenivasan, K.R., Editor-in-chief, Matkowsky, Bernard, Series editor, Peskin, Charles, Series editor, Stevens, Angela, Series editor, Stuart, Andrew, Series editor, Pego, R., Series editor, Kohn, Robert V., Series editor, Singer, Amit, Series editor, Guo, Shangjiang, and Wu, Jianhong

Published
2013
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7. Introduction

Author

Hale, Jack K., Magalhães, Luis T., Oliva, Waldyr M., Antman, S. S., editor, Marsden, J. E., editor, Sirovich, L., editor, Hale, Jack K., Magalhães, Luis T., and Oliva, Waldyr M.

Published
2002
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12. Introduction

Author

Wu, Jianhong, Marsden, J. E., editor, Sirovich, L., editor, John, F., editor, and Wu, Jianhong

Published
1996
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17. Properties of the solution map

Author

Hale, Jack K., Lunel, Sjoerd M. Verduyn, John, F., editor, Marsden, J. E., editor, Sirovich, L., editor, Hale, Jack K., and Lunel, Sjoerd M. Verduyn

Published
1993
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18. Linear autonomous equations

Author

Hale, Jack K., Lunel, Sjoerd M. Verduyn, John, F., editor, Marsden, J. E., editor, Sirovich, L., editor, Hale, Jack K., and Lunel, Sjoerd M. Verduyn

Published
1993
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19. General linear systems

Author

Hale, Jack K., Lunel, Sjoerd M. Verduyn, John, F., editor, Marsden, J. E., editor, Sirovich, L., editor, Hale, Jack K., and Lunel, Sjoerd M. Verduyn

Published
1993
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21. Introduction

Author

Hale, Jack K., Lunel, Sjoerd M. Verduyn, John, F., editor, Marsden, J. E., editor, Sirovich, L., editor, Hale, Jack K., and Lunel, Sjoerd M. Verduyn

Published
1993
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24. Introduction

Author

Hale, Jack K., Magalhães, Luis T., Oliva, Waldyr M., John, Fritz, editor, Marsden, J. E., editor, Sirovich, Lawrence, editor, Hale, Jack K., Magalhães, Luis T., and Oliva, Waldyr M.

Published
1984
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26. Stability theory

Author

Hale, Jack K., John, Fritz, editor, LaSalle, Joseph P., editor, Sirovich, Lawrence, editor, Whitham, Gerald B., editor, and Hale, Jack K.

Published
1977
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27. Global theory

Author

Hale, Jack K., John, Fritz, editor, LaSalle, Joseph P., editor, Sirovich, Lawrence, editor, Whitham, Gerald B., editor, and Hale, Jack K.

Published
1977
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29. Introduction

Author

Hale, Jack K., John, Fritz, editor, LaSalle, Joseph P., editor, Sirovich, Lawrence, editor, Whitham, Gerald B., editor, and Hale, Jack K.

Published
1977
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30. General linear systems

Author

Hale, Jack K., John, Fritz, editor, LaSalle, Joseph P., editor, Sirovich, Lawrence, editor, Whitham, Gerald B., editor, and Hale, Jack K.

Published
1977
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31. Linear autonomous equations

Author

Hale, Jack K., John, Fritz, editor, LaSalle, Joseph P., editor, Sirovich, Lawrence, editor, Whitham, Gerald B., editor, and Hale, Jack K.

Published
1977
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34. On Properties of Third-Order Functional Differential Equations

Author

Jozef Džurina and Blanka Baculíková

Subjects
Comparison theorem, Stochastic partial differential equation, Physics, Combinatorics, Third order, Functional differential equation, Differential equation, Canonical form, Differential algebraic geometry
Abstract

The objective of this paper is to offer sufficient conditions for all nonoscillatory solutions of the third-order functional differential equation $$\displaystyle{ \left [a(t){\left [x^{\prime}(t)\right ]}^{\gamma }\right ]^{\prime\prime} + p(t){x}^{\beta }(\tau (t)) = 0 }$$ tend to zero. Our results are based on the new comparison theorems. Studied equation is in a canonical form, i.e., \({\int }^{\infty }{a}^{-1/\gamma }(s)\,\mathrm{d}s = \infty \), and we consider both delay and advanced case of it. The results obtained essentially improve and complement earlier ones.

Published
2013
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35. Kenneth L. Cooke: Researcher, Educator Par Excellence

Author

P. van den Driessche

Subjects
Functional differential equation, Excellence, media_common.quotation_subject, Sociology, Management, media_common
Abstract

It was fifty years ago that Kenneth Cooke (Ken) started as an instructor at the State College of Washington while studying for his PhD degree at Stanford University. From there he went to Pomona College, Claremont, where he advanced through the ranks, and where he is now Professor Emeritus. During this time he has been Chairman of the Department, and he has held research positions and visited many institutions, including Brown University, IMA Minnesota, Cornell University, England, Italy, Brazil and Mexico.

Published
2002
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36. The shift semigroup

Author

Odo Diekmann, Sjoerd M. Verduyn Lunel, Stephan A. van Gils, and Hanns-Otto Walther

Subjects
Pure mathematics, Functional differential equation, Dual space, Semigroup, Banach space, Function (mathematics), Finite time, Bounded operator, Mathematics
Abstract

A retarded functional differential equation (RFDE) consists of a rule to extend the “initial” condition. Starting from a given function defined on [—h, 0] one obtains, by solving the equation, a function defined on [—h,ω), with ω = ∞under mild conditions on the right hand side (such that blow up of solutions in finite time can be excluded).

Published
1995
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37. Completeness or small solutions?

Author

Odo Diekmann, Sjoerd M. Verduyn Lunel, Hanns-Otto Walther, and Stephan A. van Gils

Subjects
Section (fiber bundle), Combinatorics, Physics, symbols.namesake, Functional differential equation, Mathematics::Number Theory, Blaschke product, Entire function, symbols, Renewal equation, Exponential type
Abstract

In Section 1.5 the large time behaviour of solutions of a linear retarded functional differential equation $$ \dot x(t)\, = \,\int_0^h {d\zeta (\theta )x(t - \theta ),\,\,\,\,\,\,\,\,\,\,{x_0} = \varphi } $$ (1.1) was studied. Using the renewal equation and the inverse Laplace transform, we found the following representation [see (I.5.3)] for the solution of (1.1): $$ x(t) = \sum\limits_{j = 1}^l {{p_j}} (t){e^{{\lambda _j}t}} + \frac{1}{{2\pi i}}{\int_{L(\gamma )} {{e^{zt}}\Delta (z)} ^{ - 1}}(f(0) + \int_0^h {{e^{ - z\theta }}df(\theta ))\,dz,} $$ (1.2) where $$ f(t) = \varphi (0) + \int_0^t {\left[ {\zeta (t + \sigma ) - \zeta (\sigma )} \right]} \varphi ( - \sigma )d\sigma . $$

Published
1995
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38. Equations of neutral type

Author

Jack K. Hale

Subjects
Functional differential equation, Bounded variation, Applied mathematics, State (functional analysis), Uniqueness, Qualitative theory, Type (model theory), Center manifold, Past history, Mathematics
Abstract

In vague terms, a neutral functional differential equation is one in which the derivatives of the past history or derivatives of functionals of the past history are involved as well as the present state of the system. When the derivatives of the past history enter in an arbitrary manner, most of the literature is devoted to existence, uniqueness, and continuous dependence. A qualitative theory for such general systems has not been developed at the present time.

Published
1977
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