Results 11 to 20 of about 1,119,897 (215)

Nontrivial solutions for a fourth-order Riemann-Stieltjes integral boundary value problem

open access: yesAIMS Mathematics, 2023
In this paper we study a fourth-order differential equation with Riemann-Stieltjes integral boundary conditions. We consider two cases, namely when the nonlinearity satisfies superlinear growth conditions (we use topological degree to obtain an existence
Keyu Zhang   +3 more
doaj   +2 more sources

A Sharp Bound of the Čebyšev Functional for the Riemann-Stieltjes Integral and Applications

open access: goldJournal of Inequalities and Applications, 2008
A new sharp bound of the Čebyšev functional for the Riemann-Stieltjes integral is obtained. Applications for quadrature rules including the trapezoid and midpoint rules are given.
S. S. Dragomir
doaj   +2 more sources

Positive solutions of fractional differential equations involving the Riemann–Stieltjes integral boundary condition

open access: yesAdvances in Difference Equations, 2018
In this article, the following boundary value problem of fractional differential equation with Riemann–Stieltjes integral boundary condition {D0+αu(t)+λf(t,u(t),u(t))=0 ...
Qilin Song, Zhanbing Bai
doaj   +2 more sources

A new Simpson’s 1/3-type quadrature scheme with geometric mean derivative for the Riemann-Stieltjes integral

open access: diamondSINDH UNIVERSITY RESEARCH JOURNAL -SCIENCE SERIES, 2021
The main purpose of this research is to develop and improve the Simpson’s 1/3-type quadrature scheme numerically utilizing the geometric mean derivative for the Riemann- Stieltjes integral.
Kashif Memon   +4 more
openalex   +3 more sources

Existence and multiplicity of positive solutions for a new class of singular higher-order fractional differential equations with Riemann–Stieltjes integral boundary value conditions

open access: yesAdvances in Difference Equations, 2020
In this work, the aim is to discuss a new class of singular nonlinear higher-order fractional boundary value problems involving multiple Riemann–Liouville fractional derivatives.
Lishan Liu, Dandan Min, Yonghong Wu
doaj   +2 more sources

The Eigenvalue Problem of a Singular Tempered Fractional Equation with the Riemann–Stieltjes Integral Boundary Condition

open access: yesMathematics
In this paper, we investigate the existence of positive solutions of the eigenvalue problem for a singular tempered fractional equation with a Riemann–Stieltjes integral boundary condition and signed measures.
Xinguang Zhang   +4 more
doaj   +2 more sources

On the Notion of a Function of Bounded Variation and of Riemann-Stieltjes Integral with Strong Partitions on Hyperbolic Intervals [PDF]

open access: greenBoletín de la Sociedad Matematica Mexicana, 2023
In this paper, we provided a classification for partitions of intervals on the hyperbolic plane. Given a partition, to be named strong, we define a notion of a hyperbolic-valued functions of bounded variation and a kind of Riemann-Stieltjes integral.
Gamaliel Yafte Tellez-Sanchez   +1 more
openalex   +2 more sources

SIFAT-SIFAT INTEGRAL RIEMANN-STIELTJES

open access: diamondBarekeng, 2007
If is limited and []ℜ→baf,:[]ℜ→ba,:α Monotone increase in [, is Riemann-Stieltjes integral able to α on ] ba,[]ba, simply written by[]αRSf∈ if . With JI=()()xdxfIbaα∫= is called Riemann Stieltjes lower integral f to α and ()()xdxfJbaα∫
Francis Y. Rumlawang, Harimanus Batkunde
doaj   +3 more sources

Infinite point and Riemann–Stieltjes integral conditions for an integro-differential equation

open access: yesNonlinear Analysis, 2019
In this paper, we study the existence of solutions for two nonlocal problems of integro-differential equation with nonlocal infinite-point and Riemann–Stieltjes integral boundary conditions. The continuous dependence of the solution will be studied.
Ahmed El-Sayed, Reda Gamal
doaj   +2 more sources

AN EFFICIENT FOUR-POINT QUADRATURE SCHEME FOR RIEMANN-STIELTJES INTEGRAL [PDF]

open access: diamondJOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES, 2021
In this work, a new four-point quadrature scheme is proposed for efficient approximation of the Riemann-Stieltjes integral (RS-integral). The composite form of the proposed scheme is also derived for the RS-integral from the concept of precision ...
Kashif Memon
openalex   +2 more sources

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