Mathematical Theory of Optimal Control for Semilinear Hyperbolic Systems in Two Independent Variables

Wayne Schmaedeke

doi:10.1137/0305008

Mathematical Theory of Optimal Control for Semilinear Hyperbolic Systems in Two Independent Variables

SIAM Journal on Control ◽

10.1137/0305008 ◽

1967 ◽

Vol 5 (1) ◽

pp. 138-152 ◽

Cited By ~ 2

Author(s):

Wayne Schmaedeke

Keyword(s):

Optimal Control ◽

Mathematical Theory ◽

Hyperbolic Systems ◽

Independent Variables ◽

Theory Of Optimal Control ◽

Semilinear Hyperbolic Systems ◽

Two Independent Variables

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Existence and uniqueness of solutions to initial-boundary value problems for semilinear hyperbolic systems in two independent variables

Journal of Differential Equations ◽

10.1016/0022-0396(76)90005-x ◽

1976 ◽

Vol 22 (1) ◽

pp. 74-88 ◽

Cited By ~ 1

Author(s):

Thomas J Langan

Keyword(s):

Boundary Value Problems ◽

Existence And Uniqueness ◽

Hyperbolic Systems ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Uniqueness Of Solutions ◽

Independent Variables ◽

Initial Boundary Value ◽

Semilinear Hyperbolic Systems ◽

Two Independent Variables

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On the existence of not necessarily unique solutions of semilinear hyperbolic systems in two independent variables

Journal of Differential Equations ◽

10.1016/0022-0396(72)90033-2 ◽

1972 ◽

Vol 12 (2) ◽

pp. 262-290 ◽

Cited By ~ 3

Author(s):

Thomas J Langan

Keyword(s):

Hyperbolic Systems ◽

Independent Variables ◽

Semilinear Hyperbolic Systems ◽

Two Independent Variables

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Bounded and periodic in a strip solutions of nonlinear hyperbolic systems with two independent variables

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2004.04.036 ◽

2005 ◽

Vol 49 (2-3) ◽

pp. 335-364 ◽

Cited By ~ 2

Author(s):

Tariel Kiguradze ◽

Takaŝi Kusano

Keyword(s):

Hyperbolic Systems ◽

Independent Variables ◽

Two Independent Variables ◽

Nonlinear Hyperbolic Systems

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Some existence theorems for hyperbolic systems of partial differential equations in two independent variables

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.3160050202 ◽

1952 ◽

Vol 5 (2) ◽

pp. 119-154 ◽

Cited By ~ 75

Author(s):

Avron Douglis

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Existence Theorems ◽

Hyperbolic Systems ◽

Partial Differential ◽

Independent Variables ◽

Two Independent Variables

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The development of jump discontinuities in nonlinear hyperbolic systems of equations in two independent variables

Archive for Rational Mechanics and Analysis ◽

10.1007/bf00250691 ◽

1963 ◽

Vol 14 (1) ◽

pp. 27-37 ◽

Cited By ~ 34

Author(s):

A. Jeffrey

Keyword(s):

Hyperbolic Systems ◽

Systems Of Equations ◽

Independent Variables ◽

Hyperbolic Systems Of Equations ◽

Jump Discontinuities ◽

Two Independent Variables ◽

Nonlinear Hyperbolic Systems

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On stability of solutions to the Cauchy problem for hyperbolic systems in two independent variables

Siberian Mathematical Journal ◽

10.1007/bf02674122 ◽

1998 ◽

Vol 39 (6) ◽

pp. 1112-1114 ◽

Cited By ~ 2

Author(s):

E. V. Vorob'ëva ◽

R. K. Romanovskiî

Keyword(s):

Cauchy Problem ◽

Hyperbolic Systems ◽

Stability Of Solutions ◽

Independent Variables ◽

The Cauchy Problem ◽

Two Independent Variables

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Estimates of solutions of hyperbolic systems of differential equations in two independent variables

Annales Polonici Mathematici ◽

10.4064/ap-12-2-191-197 ◽

1962 ◽

Vol 12 (2) ◽

pp. 191-197 ◽

Cited By ~ 1

Author(s):

W. Mlak

Keyword(s):

Differential Equations ◽

Hyperbolic Systems ◽

Independent Variables ◽

Estimates Of Solutions ◽

Systems Of Differential Equations ◽

Two Independent Variables

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Optimal control of Volterra integral equations in two independent variables

Applied Mathematics and Computation ◽

10.1016/j.amc.2008.03.006 ◽

2008 ◽

Vol 202 (2) ◽

pp. 647-665 ◽

Cited By ~ 2

Author(s):

S.A. Belbas

Keyword(s):

Optimal Control ◽

Integral Equations ◽

Volterra Integral Equations ◽

Independent Variables ◽

Two Independent Variables

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Local generalized solutions of mixed problems for quasilinear hyperbolic systems of functional partial differential equations in two independent variables

Annales Polonici Mathematici ◽

10.4064/ap-49-3-259-278 ◽

1989 ◽

Vol 49 (3) ◽

pp. 259-278 ◽

Cited By ~ 4

Author(s):

Jan Turo

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Hyperbolic Systems ◽

Generalized Solutions ◽

Partial Differential ◽

Quasilinear Hyperbolic Systems ◽

Independent Variables ◽

Mixed Problems ◽

Two Independent Variables

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EXPONENTIALLY SPLITTABLE HYPERBOLIC SYSTEMS WITH TWO INDEPENDENT VARIABLES

Mathematics of the USSR-Sbornik ◽

10.1070/sm1988v061n02abeh003211 ◽

1988 ◽

Vol 61 (2) ◽

pp. 335-349 ◽

Cited By ~ 1

Author(s):

R K Romanovskiĭ

Keyword(s):

Hyperbolic Systems ◽

Independent Variables ◽

Two Independent Variables

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