Conditional correctness of boundary-value problem for a composite fourth-order differential equation

Fayazov, K. S.; Khazhiev, I. O.

doi:10.3103/s1066369x15040088

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Cited by 3 publications

(2 citation statements)

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“…For further discussion, we need in the following lemmas: Lemma 1 [6]. Let v(x, t) satisfies the equation…”

Section: The Main Resultsmentioning

confidence: 99%

Boundary Value Problem for the System Equations Mixed Type

Fayazov¹,

Khajiev²

2016

ujcmj

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“…For further discussion, we need in the following lemmas: Lemma 1 [6]. Let v(x, t) satisfies the equation…”

Section: The Main Resultsmentioning

confidence: 99%

Boundary Value Problem for the System Equations Mixed Type

Fayazov¹,

Khajiev²

2016

ujcmj

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“…Namely, in this problem the solution does not continuously depend on the initial data. Ill-posed problems for such equations were considered in [8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Conditional Correctness and Approximate Solution of Boundary Value Problem for the System of Second Order Mixed-type Equations

Khajiev¹,

Khazhiev²

2018

J. Sib. Fed. Univ., Math. phys.

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In this paper, we consider the system of second-order mixed type equations. Theorems of uniqueness and conditional stability in the set of correctness are proven. The approximate solution is constructed by the method of regularization and by the quasi-inverse method.Keywords: system of equations, boundary value problem, ill-posed problem, a priori estimate, theorem of the uniqueness, conditional stability, set of correctness, approximate solution, regularization.

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Conditional Correctness of the Initial-Boundary Value Problem for a System of High-Order Mixed-Type Equations

Fayazov

Khajiev

2022

Russ Math.

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Conditional correctness of boundary-value problem for a composite fourth-order differential equation

Cited by 3 publications

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Boundary Value Problem for the System Equations Mixed Type

Boundary Value Problem for the System Equations Mixed Type

Conditional Correctness and Approximate Solution of Boundary Value Problem for the System of Second Order Mixed-type Equations

Conditional Correctness of the Initial-Boundary Value Problem for a System of High-Order Mixed-Type Equations

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