Parabolic partial differential equations with discrete state-dependent delay: Classical solutions and solution manifold

Journal of Differential Equations ◽

10.1016/j.jde.2015.11.018 ◽

2016 ◽

Vol 260 (5) ◽

pp. 4454-4472 ◽

Author(s):

Tibor Krisztin ◽

Alexander Rezounenko

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Classical Solutions ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Discrete State ◽

State Dependent ◽

State Dependent Delay ◽

Solution Manifold

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Principle of linearized stability and instability for parabolic partial differential equations with state-dependent delay

Journal of Differential Equations ◽

10.1016/j.jde.2019.02.014 ◽

2019 ◽

Vol 267 (3) ◽

pp. 1671-1704 ◽

Author(s):

Yunfei Lv ◽

Yongzhen Pei ◽

Rong Yuan

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

State Dependent ◽

Linearized Stability ◽

Stability And Instability ◽

State Dependent Delay

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Smoothness of semiflows for parabolic partial differential equations with state-dependent delay

Journal of Differential Equations ◽

10.1016/j.jde.2015.12.037 ◽

2016 ◽

Vol 260 (7) ◽

pp. 6201-6231 ◽

Author(s):

Yunfei Lv ◽

Rong Yuan ◽

Yongzhen Pei

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

State Dependent ◽

State Dependent Delay

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Non-linear partial differential equations with discrete state-dependent delays in a metric space

Nonlinear Analysis ◽

10.1016/j.na.2010.05.005 ◽

2010 ◽

Vol 73 (6) ◽

pp. 1707-1714 ◽

Author(s):

Alexander V. Rezounenko

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Metric Space ◽

Partial Differential ◽

Discrete State ◽

Linear Partial Differential Equations ◽

State Dependent ◽

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ON NON-CONDITIONAL STABILITY OF OPEN DIFFERENCE PATTERNS FOR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS

Demonstratio Mathematica ◽

10.2478/dema-1989-0110 ◽

1989 ◽

Vol 22 (1) ◽

pp. 85-100

Author(s):

Vu Van Hung

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Parabolic Partial Differential Equations ◽

Conditional Stability ◽

Partial Differential

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Adaptive Finite Element Methods for Parabolic Partial Differential Equations.

10.21236/ada131824 ◽

1983 ◽

Author(s):

Joseph E. Flaherty ◽

J. Michael Coyle ◽

Raymond Ludwig ◽

Stephen F. Davis

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Finite Element Methods ◽

Parabolic Partial Differential Equations ◽

Adaptive Finite Element ◽

Adaptive Finite Element Methods ◽

Partial Differential

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The Continuous Classical Optimal Control for a Coupled Nonlinear Parabolic Partial Differential Equations with Equality and Inequality Constraints

Journal of Al-Nahrain University-Science ◽

10.22401/jnus.19.1.20 ◽

2016 ◽

Vol 19 (1) ◽

pp. 173-186 ◽

Author(s):

Jamil A. Ali Al-Hawasy ◽

◽

Ghufran M. Kadhem ◽

Keyword(s):

Optimal Control ◽

Partial Differential Equations ◽

Differential Equations ◽

Inequality Constraints ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Nonlinear Parabolic ◽

Equality And Inequality Constraints

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Global boundary feedback stabilization for a class of pseudo-parabolic partial differential equations

2013 American Control Conference ◽

10.1109/acc.2013.6580715 ◽

2013 ◽

Author(s):

Agus Hasan ◽

Ole Morten Aamo ◽

Bjarne Foss

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Feedback Stabilization ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Boundary Feedback

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Design of worst spatial distribution of disturbances for a class of parabolic partial differential equations

Proceedings of the 2005, American Control Conference, 2005. ◽

10.1109/acc.2005.1470583 ◽

2005 ◽

Author(s):

M.A. Demetriou ◽

J. Borggaard

Keyword(s):

Spatial Distribution ◽

Partial Differential Equations ◽

Differential Equations ◽

Parabolic Partial Differential Equations ◽

Partial Differential

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A Unified Boundary Controllability Theory for Hyperbolic and Parabolic Partial Differential Equations

Studies in Applied Mathematics ◽

10.1002/sapm1973523189 ◽

1973 ◽

Vol 52 (3) ◽

pp. 189-211 ◽

Author(s):

David L. Russell

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Boundary Controllability

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Analytical Aspect of Fourth-Order Parabolic Partial Differential Equations with Variable Coefficients

Mathematical and Computational Applications ◽

10.3390/mca15030481 ◽

2010 ◽

Vol 15 (3) ◽

pp. 481-489 ◽

Author(s):

Najeeb Khan ◽

Asmat Ara ◽

Muhammad Afzal ◽

Azam Khan

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Fourth Order ◽

Variable Coefficients ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Analytical Aspect

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