The Tychonoff-Schauder theorem and the existence of bounded solutions of quasilinear hyperbolic systems of differential equations

Journal of Mathematical Sciences ◽

10.1007/s10958-008-9118-z ◽

2008 ◽

Vol 153 (1) ◽

pp. 47-50

Author(s):

O. A. Ivanov

Keyword(s):

Differential Equations ◽

Hyperbolic Systems ◽

Bounded Solutions ◽

Quasilinear Hyperbolic Systems ◽

Systems Of Differential Equations ◽

Schauder Theorem

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Existence of Countably Many Cycles in Hyperbolic Systems of Differential Equations with Transformed Argument

Journal of Mathematical Sciences ◽

10.1007/s10958-016-2842-x ◽

2016 ◽

Vol 215 (3) ◽

pp. 341-349 ◽

Author(s):

I. I. Klevchuk

Keyword(s):

Differential Equations ◽

Hyperbolic Systems ◽

Systems Of Differential Equations

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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 ◽

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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Generalized solutions of mixed problems for quasilinear hyperbolic systems of functional partial differential equations in the Schauder canonic form

Annales Polonici Mathematici ◽

10.4064/ap-50-2-157-183 ◽

1989 ◽

Vol 50 (2) ◽

pp. 157-183 ◽

Author(s):

Jan Turo

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Hyperbolic Systems ◽

Generalized Solutions ◽

Partial Differential ◽

Quasilinear Hyperbolic Systems ◽

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Shock Fronts and Hyperbolic Systems of Differential Equations

Continuum Thermodynamics and Constitutive Theory ◽

10.1007/978-3-030-43989-7_10 ◽

2020 ◽

pp. 179-197

Author(s):

Christina Papenfuß

Keyword(s):

Differential Equations ◽

Hyperbolic Systems ◽

Systems Of Differential Equations ◽

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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 ◽

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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Corrigendum to “Global existence and asymptotic behavior of classical solutions of quasilinear hyperbolic systems with linearly degenerate characteristic fields” [J. Differential Equations 235 (2007) 127–165]

Journal of Differential Equations ◽

10.1016/j.jde.2007.09.004 ◽

2007 ◽

Vol 242 (2) ◽

pp. 322-323

Author(s):

Wen-Rong Dai ◽

De-Xing Kong

Keyword(s):

Asymptotic Behavior ◽

Global Existence ◽

Differential Equations ◽

Hyperbolic Systems ◽

Classical Solutions ◽

Quasilinear Hyperbolic Systems ◽

Linearly Degenerate

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Bounded solutions of nonlinear systems of differential equations

Ukrainian Mathematical Journal ◽

10.1007/bf01268424 ◽

1984 ◽

Vol 36 (6) ◽

pp. 541-547

Author(s):

Yu. A. Mitropol'skii ◽

V. L. Kulik

Keyword(s):

Nonlinear Systems ◽

Differential Equations ◽

Bounded Solutions ◽

Systems Of Differential Equations

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A result concerning bounded solutions of linear systems of differential equations

Acta Mathematica Hungarica ◽

10.1007/bf01874660 ◽

1993 ◽

Vol 62 (3-4) ◽

pp. 403-409 ◽

Author(s):

R. Naulin

Keyword(s):

Differential Equations ◽

Linear Systems ◽

Bounded Solutions ◽

Systems Of Differential Equations

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Bounded solutions of systems of differential equations with impulses

Annales Polonici Mathematici ◽

10.4064/ap-48-2-191-206 ◽

1988 ◽

Vol 48 (2) ◽

pp. 191-206 ◽

Author(s):

S. G. Hristova ◽

D. D. Bainov

Keyword(s):

Differential Equations ◽

Bounded Solutions ◽

Systems Of Differential Equations

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ABOUT A CERTAIN CLASS OF PARABOLIC-HYPERBOLIC SYSTEMS OF DIFFERENTIAL EQUATIONS

Analysis ◽

10.1524/anly.1989.9.12.1 ◽

1989 ◽

Vol 9 (1-2) ◽

pp. 1-40 ◽

Author(s):

Gerhard Ströhmer

Keyword(s):

Differential Equations ◽

Hyperbolic Systems ◽

Systems Of Differential Equations

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