Ebook: Nonlinear Semigroups, Partial Differential Equations and Attractors: Proceedings of a Symposium held in Washington, D.C., August 3–7, 1987

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Content:
Front Matter....Pages -
State-space formulation for functional differential equations of neutral-type....Pages 1-10
Some remarks on forced integrable systems....Pages 11-17
Some remarks on the nonlinear Schr?dinger equation in the critical case....Pages 18-29
On the integrability of nonlinear evolution equations....Pages 30-43
On quasilinear hyperbolic integrodifferential equations in unbounded domains....Pages 44-55
Positive solutions for semilinear elliptic systems....Pages 56-67
Recent rigorous results in Thomas-Fermi theory....Pages 68-82
Methods of computing fractal dimensions....Pages 83-95
Asymptotic behavior of solutions to quasimonotone parabolic systems....Pages 96-116
Global existence for semilinear parabolic systems via Lyapunov type methods....Pages 117-121
A difference inclusion....Pages 122-130
Spectrum estimations for the generalized quantum Henon-Heiles system....Pages 131-135
A survey of local existence theories for abstract nonlinear initial value problems....Pages 136-184
The transient semiconductor problem with generation terms, II....Pages 185-198
Switching systems and periodicity....Pages 199-210
Breathers for the Sine-Gordon equation....Pages 211-217
The riccati equation revisited....Pages 218-233

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Content:
Front Matter....Pages -
State-space formulation for functional differential equations of neutral-type....Pages 1-10
Some remarks on forced integrable systems....Pages 11-17
Some remarks on the nonlinear Schr?dinger equation in the critical case....Pages 18-29
On the integrability of nonlinear evolution equations....Pages 30-43
On quasilinear hyperbolic integrodifferential equations in unbounded domains....Pages 44-55
Positive solutions for semilinear elliptic systems....Pages 56-67
Recent rigorous results in Thomas-Fermi theory....Pages 68-82
Methods of computing fractal dimensions....Pages 83-95
Asymptotic behavior of solutions to quasimonotone parabolic systems....Pages 96-116
Global existence for semilinear parabolic systems via Lyapunov type methods....Pages 117-121
A difference inclusion....Pages 122-130
Spectrum estimations for the generalized quantum Henon-Heiles system....Pages 131-135
A survey of local existence theories for abstract nonlinear initial value problems....Pages 136-184
The transient semiconductor problem with generation terms, II....Pages 185-198
Switching systems and periodicity....Pages 199-210
Breathers for the Sine-Gordon equation....Pages 211-217
The riccati equation revisited....Pages 218-233
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