Solvability of a Mixed Problem with an Integral Condition for a Third-Order Hyperbolic Equation

Journal of Mathematical Sciences ◽

10.1007/s10958-020-04693-5 ◽

2020 ◽

Vol 245 (3) ◽

pp. 323-331

Author(s):

O. S. Zikirov ◽

D. K. Kholikov

Keyword(s):

Hyperbolic Equation ◽

Mixed Problem ◽

Integral Condition ◽

Third Order ◽

Order Hyperbolic Equation

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Classical solution of the first mixed problem for a third-order hyperbolic equation with the wave operator

Differential Equations ◽

10.1134/s0012266114040077 ◽

2014 ◽

Vol 50 (4) ◽

pp. 489-501

Author(s):

V. I. Korzyuk ◽

A. A. Mandrik

Keyword(s):

Hyperbolic Equation ◽

Classical Solution ◽

Mixed Problem ◽

Wave Operator ◽

Third Order ◽

Order Hyperbolic Equation

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First mixed problem for a nonstrictly hyperbolic equation of the third order in a bounded domain

Differential Equations ◽

10.1134/s0012266116060070 ◽

2016 ◽

Vol 52 (6) ◽

pp. 767-780

Author(s):

V. I. Korzyuk ◽

A. A. Mandrik

Keyword(s):

Hyperbolic Equation ◽

Bounded Domain ◽

Mixed Problem ◽

Third Order ◽

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Boundary value problems for a third-order hyperbolic equation on the plane

Differential Equations ◽

10.1134/s001226611706012x ◽

2017 ◽

Vol 53 (6) ◽

pp. 818-824 ◽

Author(s):

E. A. Utkina

Keyword(s):

Hyperbolic Equation ◽

Boundary Value Problems ◽

Boundary Value ◽

Third Order ◽

Order Hyperbolic Equation

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Chapter 7 The Cauchy problem for a second-order hyperbolic equation with small third-order viscous terms

Nonlinear Wave Equations Perturbed by Viscous Terms ◽

10.1515/9783110811902.147 ◽

2000 ◽

Keyword(s):

Cauchy Problem ◽

Hyperbolic Equation ◽

Second Order ◽

Third Order ◽

The Cauchy Problem ◽

Order Hyperbolic Equation ◽

Second Order Hyperbolic Equation

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On the identification of a linear source for the second order hyperbolic equation with integral condition

Applied Mathematical Sciences ◽

10.12988/ams.2015.5134 ◽

2015 ◽

Vol 9 ◽

pp. 1463-1473

Author(s):

Y. T. Mehraliyev ◽

G. N. Isgendarova

Keyword(s):

Hyperbolic Equation ◽

Integral Condition ◽

Second Order ◽

Linear Source ◽

Order Hyperbolic Equation ◽

Second Order Hyperbolic Equation

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Unboundedness of solutions of one third-order hyperbolic equation

Journal of Mathematical Sciences ◽

10.1007/s10958-010-9790-7 ◽

2010 ◽

Vol 165 (2) ◽

pp. 200-213

Author(s):

S. P. Lavrenyuk ◽

O. T. Panat

Keyword(s):

Hyperbolic Equation ◽

Third Order ◽

Order Hyperbolic Equation

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On the non-local boundary value problem of a third order hyperbolic equation

International Journal of Dynamical Systems and Differential Equations ◽

10.1504/ijdsde.2008.019682 ◽

2008 ◽

Vol 1 (3) ◽

pp. 205 ◽

Author(s):

O.S. Zikirov

Keyword(s):

Boundary Value Problem ◽

Hyperbolic Equation ◽

Boundary Value ◽

Third Order ◽

Local Boundary ◽

Order Hyperbolic Equation ◽

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A numerical method for solving one nonlocal boundary value problem for a third-order hyperbolic equation

Computational Mathematics and Mathematical Physics ◽

10.1134/s096554251409005x ◽

2014 ◽

Vol 54 (9) ◽

pp. 1441-1458 ◽

Author(s):

M. Kh. Beshtokov

Keyword(s):

Boundary Value Problem ◽

Hyperbolic Equation ◽

Numerical Method ◽

Boundary Value ◽

Nonlocal Boundary ◽

Nonlocal Boundary Value Problem ◽

Third Order ◽

Order Hyperbolic Equation

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Classical solution of the first mixed problem for second-order hyperbolic equation in curvilinear half-strip with variable coefficients

Differential Equations ◽

10.1134/s0012266117010074 ◽

2017 ◽

Vol 53 (1) ◽

pp. 74-85 ◽

Author(s):

V. I. Korzyuk ◽

I. I. Stolyarchuk

Keyword(s):

Hyperbolic Equation ◽

Classical Solution ◽

Mixed Problem ◽

Variable Coefficients ◽

Second Order ◽

Order Hyperbolic Equation ◽

Second Order Hyperbolic Equation

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Explicit difference scheme for the solution of a mixed problem for a general second order hyperbolic equation

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(64)90140-5 ◽

1964 ◽

Vol 4 (5) ◽

pp. 49-60

Author(s):

I. Kopachek

Keyword(s):

Difference Scheme ◽

Hyperbolic Equation ◽

Mixed Problem ◽

Second Order ◽

Explicit Difference Scheme ◽

Order Hyperbolic Equation ◽

Second Order Hyperbolic Equation

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