Analysis of the local well‐posedness of optimization‐constrained differential equations by local optimality conditions

Xiao Zhao; Tobias Ploch; Stephan Noack; Wolfgang Wiechert; Alexander Mitsos; Eric von Lieres

doi:10.1002/aic.16548

Analysis of the local well‐posedness of optimization‐constrained differential equations by local optimality conditions

AIChE Journal ◽

10.1002/aic.16548 ◽

2020 ◽

Vol 66 (10) ◽

Cited By ~ 1

Author(s):

Xiao Zhao ◽

Tobias Ploch ◽

Stephan Noack ◽

Wolfgang Wiechert ◽

Alexander Mitsos ◽

...

Keyword(s):

Differential Equations ◽

Optimality Conditions ◽

Well Posedness ◽

Local Optimality

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Well-Posedness and Approximation for Nonhomogeneous Fractional Differential Equations

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2021.1901117 ◽

2021 ◽

pp. 1-25

Author(s):

Ru Liu ◽

Sergey Piskarev

Keyword(s):

Differential Equations ◽

Fractional Differential Equations ◽

Well Posedness ◽

Fractional Differential

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The weighted Cauchy problem for linear functional differential equations with strong singularities

Georgian Mathematical Journal ◽

10.1515/gmj.2011.0034 ◽

2011 ◽

Vol 18 (3) ◽

pp. 577-586

Author(s):

Zaza Sokhadze

Keyword(s):

Cauchy Problem ◽

Differential Equations ◽

Linear Functional ◽

Functional Differential Equations ◽

Sufficient Conditions ◽

Initial Point ◽

Higher Order ◽

Well Posedness ◽

Deviating Arguments ◽

Functional Differential

Abstract The sufficient conditions of well-posedness of the weighted Cauchy problem for higher order linear functional differential equations with deviating arguments, whose coefficients have nonintegrable singularities at the initial point, are found.

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Second-Order Necessary Optimality Conditions for a Class of Optimal Control Problems Governed by Partial Differential Equations with Pure State Constraints

Journal of Optimization Theory and Applications ◽

10.1007/s10957-014-0628-1 ◽

2014 ◽

Vol 165 (1) ◽

pp. 30-61 ◽

Cited By ~ 5

Author(s):

B. T. Kien ◽

V. H. Nhu ◽

A. Rösch

Keyword(s):

Optimal Control ◽

Partial Differential Equations ◽

Differential Equations ◽

Optimality Conditions ◽

Pure State ◽

State Constraints ◽

Optimal Control Problems ◽

Necessary Optimality Conditions ◽

Control Problems ◽

Pure State Constraints

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Well-posedness of second order degenerate differential equations with infinite delay in Hölder continuous function spaces

Journal of Integral Equations and Applications ◽

10.1216/jie.2021.33.171 ◽

2021 ◽

Vol 33 (2) ◽

Author(s):

Shangquan Bu ◽

Yuchen Zhong

Keyword(s):

Continuous Function ◽

Differential Equations ◽

Infinite Delay ◽

Function Spaces ◽

Second Order ◽

Well Posedness ◽

Hölder Continuous ◽

Order Degenerate ◽

Degenerate Differential Equations

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Well-Posedness of Volterra Integro-Differential Equations with Fractional Exponential Kernels

Differential and Difference Equations with Applications - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-030-56323-3_39 ◽

2020 ◽

pp. 517-533

Author(s):

N. A. Rautian

Keyword(s):

Differential Equations ◽

Well Posedness

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A note on the well-posedness of terminal value problems for fractional differential equations

Journal of Integral Equations and Applications ◽

10.1216/jie-2018-30-3-371 ◽

2018 ◽

Vol 30 (3) ◽

pp. 371-376 ◽

Cited By ~ 5

Author(s):

Kai Diethelm ◽

Neville J. Ford

Keyword(s):

Differential Equations ◽

Fractional Differential Equations ◽

Well Posedness ◽

Fractional Differential

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Well-posedness and regularity for solutions of caputo stochastic fractional differential equations in Lp spaces

Stochastic Analysis and Applications ◽

10.1080/07362994.2021.1988856 ◽

2021 ◽

pp. 1-15

Author(s):

Phan Thi Huong ◽

P.E. Kloeden ◽

Doan Thai Son

Keyword(s):

Differential Equations ◽

Fractional Differential Equations ◽

Well Posedness ◽

Lp Spaces ◽

Fractional Differential ◽

Stochastic Fractional Differential Equations

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Existence and uniqueness of solutions, well-posedness and global attractor for abstract differential equations with state-dependent delay

Journal of Differential Equations ◽

10.1016/j.jde.2021.09.014 ◽

2021 ◽

Vol 302 ◽

pp. 753-806

Author(s):

Eduardo Hernandez ◽

Denis Fernandes ◽

Jianhong Wu

Keyword(s):

Differential Equations ◽

Global Attractor ◽

Existence And Uniqueness ◽

Well Posedness ◽

Uniqueness Of Solutions ◽

Abstract Differential Equations ◽

State Dependent ◽

State Dependent Delay

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Regularization and Well-Posedness by Noise for Ordinary and Partial Differential Equations

Stochastic Partial Differential Equations and Related Fields - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-319-74929-7_3 ◽

2018 ◽

pp. 43-67 ◽

Cited By ~ 2

Author(s):

Benjamin Gess

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Well Posedness ◽

Partial Differential

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Well-posedness of second order degenerate differential equations in vector-valued function spaces

Studia Mathematica ◽

10.4064/sm214-1-1 ◽

2013 ◽

Vol 214 (1) ◽

pp. 1-16 ◽

Cited By ~ 20

Author(s):

Shangquan Bu

Keyword(s):

Differential Equations ◽

Function Spaces ◽

Second Order ◽

Well Posedness ◽

Order Degenerate ◽

Vector Valued Function ◽

Degenerate Differential Equations ◽

Vector Valued

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