Results 21 to 30 of about 1,119,897 (215)

A new theorem on the existence of the Riemann-Stieltjes integral and an improved version of the Lo\'eve-Young inequality [PDF]

, 2015
Using the notion of the truncated variation we obtain a new theorem on the existence and estimation of the Riemann-Stieltjes integral. As a special case of this theorem we obtain an improved version of the Lo\'{e}ve-Young inequality for the Riemann ...
Łochowski, Rafał M.
core   +2 more sources

Linear Sturm-Liouville problems with Riemann-Stieltjes integral boundary conditions [PDF]

Opuscula Mathematica, 2018
We study second-order linear Sturm-Liouville problems involving general homogeneous linear Riemann-Stieltjes integral boundary conditions. Conditions are obtained for the existence of a sequence of positive eigenvalues with consecutive zero counts of the
Qingkai Kong, Thomas E. St. George
doaj   +2 more sources

Positive solutions for a Caputo-type fractional differential equation with a Riemann-Stieltjes integral boundary condition

Electronic Research Archive
In this paper, we study the solvability of positive solutions for a Caputo-type fractional-order Riemann-Stieltjes integral boundary value problem. Under some monotonicity conditions for the nonlinearity, we use the upper-lower solution method to obtain ...
Haixia Li, Xin Liu
doaj   +2 more sources

Ulam–Hyers Stability and Simulation of a Delayed Fractional Differential Equation with Riemann–Stieltjes Integral Boundary Conditions and Fractional Impulses

Axioms
In this article, we delve into delayed fractional differential equations with Riemann–Stieltjes integral boundary conditions and fractional impulses.
Xiaojun Lv, Kaihong Zhao, Haiping Xie
doaj   +2 more sources

Weak solutions for the coupled system of Riemann-Stieltjes integral equations

المجلة الليبية العالمية
We present an existence theorem for at least one weak solution for a coupled system of  Riemann-Stieltjes integral equations in a reflexive Banach space . As an application, we study the existence of weak solutions  for the coupled system of Hammerstien-
Masouda M. A. Al-Fadel
openalex   +3 more sources

Existence and uniqueness of nontrivial solutions to a system of fractional differential equations with Riemann–Stieltjes integral conditions

Advances in Difference Equations, 2018
This paper studies a system of fractional differential equations with Riemann–Stieltjes integral conditions. The existence and uniqueness of nontrivial solutions to the above system are established under some weaker conditions by the Leray–Schauder ...
Bingmei Liu, Junling Li, Lishan Liu, Yongqing Wang   +3 more
doaj   +2 more sources

Two-Point Quadrature Rules for Riemann–Stieltjes Integrals with Lp–error estimates [PDF]

Moroccan Journal of Pure and Applied Analysis, 2018
In this work, we construct a new general two-point quadrature rules for the Riemann–Stieltjes integral ∫abf(t) du (t)$\int_a^b {f(t)} \,du\,(t)$, where the integrand f is assumed to be satisfied with the Hölder condition on [a, b] and the integrator u is
Alomari M.W.
doaj   +2 more sources

On the Riemann-Stieltjes Integral [PDF]

Mathematics Interdisciplinary Research, 2022
This study contributes to the theory of Riemann-Stieltjes integral. We prove that if all continuous piecewise linear functions are Riemann-Stieltjes integrable with respect to a bounded integrator α : [a,b] → R, then α must be of bounded variation on [a ...
Ali Parsian
doaj   +1 more source

Existence of Positive Solutions for a Fourth-Order Differential Equation with p-Laplacian and Riemann-Stieltjes Integral Boundary Conditions

International Journal of Dynamical Systems and Differential Equations
Yingqiu Wang, Dehong Ji
semanticscholar   +3 more sources

A New Class of ψ-Caputo Fractional Differential Equations and Inclusion

Journal of Mathematics, 2021
In the present research work, we investigate the existence of a solution for new boundary value problems involving fractional differential equations with ψ-Caputo fractional derivative supplemented with nonlocal multipoint, Riemann–Stieltjes integral and
Wafa Shammakh, Hadeel Z. Alzumi, Bushra A. AlQahtani   +2 more
doaj   +1 more source