On a Volterra property of an problem of the Frankl type for an equation of the mixed parabolic–hyperbolic type

Dildabek, Gulnar; Sadybekov, Makhmud A.; Saprygina, Marina B.

doi:10.1063/1.5013971

AIP Conference Proceedings

2017

DOI: 10.1063/1.5013971

|View full text |Cite

On a Volterra property of an problem of the Frankl type for an equation of the mixed parabolic–hyperbolic type

Gulnar Dildabek

Makhmud A. Sadybekov

Marina B. Saprygina

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2020

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The result of this paper was first presented at the 43rd International Conference "Applications of Mathematics in Engineering and Economics" (AMEE'17) (Sozopol, Bulgaria, Jun 08-13, 2017). A brief overview of its content was announced in the materials of this conference [4] (M. Saprygina changed her maiden name to Ivanova).…”

mentioning

confidence: 99%

Unique solvability of a nonlocal problem with shift for a parabolic-hyperbolic equation

Urinov

Mamanazarov

2020

Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki

View full text Add to dashboard Cite

In this article we study spectral properties of non-local boundaryvalue problem for an equation of parabolic-hyperbolic type. The non-local condition binds the solution values at points on boundaries of the parabolic and hyperbolic parts of the domain with each other. Nonlocal boundary conditions of such type are called Frankl-type conditions. This problem was first formulated by Kal'menov and Sadybekov who proved the unique strong solvability. In this article we investigate one particular case of this problem, for which we show that the problem does not have eigenvalues. 2010 Mathematics Subject Classification. 35M10, 35M12. Key words and phrases. Equation of the mixed type; parabolic-hyperbolic equation; Non-local boundary value problem; Frankl type problem; spectral properties; eigenvalues.

show abstract

mentioning

confidence: 99%

Unique solvability of a nonlocal problem with shift for a parabolic-hyperbolic equation

Urinov

Mamanazarov

2020

Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

On a Volterra property of an problem of the Frankl type for an equation of the mixed parabolic–hyperbolic type

Cited by 1 publication

References 15 publications

Unique solvability of a nonlocal problem with shift for a parabolic-hyperbolic equation

Unique solvability of a nonlocal problem with shift for a parabolic-hyperbolic equation

Contact Info

Product

Resources

About