Next Article in Journal
A Note on a Class of Generalized Parabolic Marcinkiewicz Integrals along Surfaces of Revolution
Next Article in Special Issue
Variational Problems and Applications
Previous Article in Journal
A Complementary Dual of Single-Valued Neutrosophic Entropy with Application to MAGDM
Previous Article in Special Issue
Markov Moment Problem and Sandwich Conditions on Bounded Linear Operators in Terms of Quadratic Forms
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
Mathematics
Volume 10
Issue 20
10.3390/math10203728
mathematics-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite question_answer Discuss in SciProfiles
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

Variational Estimation Methods for Sturm–Liouville Problems

by
Elena Corina Cipu
1,2,* and
Cosmin Dănuţ Barbu
1
1
Department of Applied Mathematics, University Politehnica of Bucharest, Spl. Independentei, No. 313, RO-060042 Bucharest, Romania
2
CiTi, Faculty of Applied Sciences, University Politehnica of Bucharest, Spl. Independentei, No. 313, RO-060042 Bucharest, Romania
*
Author to whom correspondence should be addressed.
Mathematics 2022, 10(20), 3728; https://doi.org/10.3390/math10203728
Submission received: 31 July 2022 / Revised: 28 September 2022 / Accepted: 7 October 2022 / Published: 11 October 2022
(This article belongs to the Special Issue Variational Problems and Applications)
Browse Figures
Versions Notes

Abstract

In this paper, we are concerned with approach solutions for Sturm–Liouville problems (SLP) using variational problem (VP) formulation of regular SLP. The minimization problem (MP) is also set forth, and the connection between the solution of each formulation is then proved. Variational estimations (the variational equation associated through the Euler–Lagrange variational principle and Nehari’s method, shooting method and bisection method) and iterative variational methods (He’s method and HPM) for regular RSL are unitary presented in final part of the paper, which ends with applications.
Keywords: BVP nonlinear problems; variational methods; estimating nonlinearities; Green function BVP nonlinear problems; variational methods; estimating nonlinearities; Green function

Share and Cite

MDPI and ACS Style

Cipu, E.C.; Barbu, C.D. Variational Estimation Methods for Sturm–Liouville Problems. Mathematics 2022, 10, 3728. https://doi.org/10.3390/math10203728

AMA Style

Cipu EC, Barbu CD. Variational Estimation Methods for Sturm–Liouville Problems. Mathematics. 2022; 10(20):3728. https://doi.org/10.3390/math10203728

Chicago/Turabian Style

Cipu, Elena Corina, and Cosmin Dănuţ Barbu. 2022. "Variational Estimation Methods for Sturm–Liouville Problems" Mathematics 10, no. 20: 3728. https://doi.org/10.3390/math10203728

APA Style

Cipu, E. C., & Barbu, C. D. (2022). Variational Estimation Methods for Sturm–Liouville Problems. Mathematics, 10(20), 3728. https://doi.org/10.3390/math10203728

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop