Results 71 to 80 of about 666,505 (227)

The Existence and Uniqueness of Solutions for a Class of Nonlinear Fractional Differential Equations with Infinite Delay

Abstract and Applied Analysis, 2013
We prove the existence and uniqueness of solutions for two classes of infinite delay nonlinear fractional order differential equations involving Riemann-Liouville fractional derivatives.
Azizollah Babakhani, Dumitru Baleanu, Ravi P. Agarwal   +2 more
doaj   +1 more source

Minimal graphic functions on manifolds of non-negative Ricci curvature [PDF]

, 2013
We study minimal graphic functions on complete Riemannian manifolds $\Si$ with non-negative Ricci curvature, Euclidean volume growth and quadratic curvature decay.
Ding, Qi, Jost, J., Xin, Y. L.
core  

Levinson's Theorem for Non-local Interactions in Two Dimensions

, 1998
In the light of the Sturm-Liouville theorem, the Levinson theorem for the Schr\"{o}dinger equation with both local and non-local cylindrically symmetric potentials is studied. It is proved that the two-dimensional Levinson theorem holds for the case with
Chadan Kh, Dong Shi-Hai, Dong Shi-Hai, Englefield M J, Jauch J M, Kermode M W, Levinson N, Ma Z Q, Martin A, Martin P A, Newton R G, Newton R G, Newton R G, Newton R G, Newton R G, Ni G J, Okai S, Saito S, Saito S, Shi-Hai Dong, Tamagaki R, Xi-Wen Hou, Yang C N, Zhong-Qi Ma   +23 more
core   +1 more source

Refinements of the Jensen Inequality and Estimates of the Jensen Gap Based on Interval‐Valued Functions

Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12567-12576, August 2025.
ABSTRACT The significance of the Jensen inequality stems from its impactful and compelling outcomes. As a generalization of classical convexity, it plays a key role in deriving other well‐known inequalities such as Hermite–Hadamard, Hölder, Minkowski, arithmetic‐geometric, and Young's inequalities.
İzzettin Demir
wiley   +1 more source

A Liouville theorem for superlinear heat equations on Riemannian manifolds

, 2019
We study the triviality of the solutions of weighted superlinear heat equations on Riemannian manifolds with nonnegative Ricci tensor. We prove a Liouville--type theorem for solutions bounded from below with nonnegative initial data, under an integral ...
Castorina, Daniele, Mantegazza, Carlo, Sciunzi, Berardino   +2 more
core   +1 more source

Individuals Strategies and Predator–Prey Game Models in Deterministic and Random Settings

Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12587-12607, August 2025.
ABSTRACT The authors propose a new predator–prey game model by integrating two optional strategies into prey species: cooperative and isolation strategies. An investigation of the evolutionary impact on predator–prey system dynamics is given. The model utilizes a replicator equation to track changes in the frequency of cooperative strategy among preys,
Hairui Yuan, Xinzhu Meng, Federico Frascoli, Tonghua Zhang   +3 more
wiley   +1 more source

Linearized asymptotic stability for nabla Riemann-Liouville fractional difference equation [PDF]

Archives of Control Sciences
In this paper,we present a theorem about stability of nonlinear fractional difference equation with Riemann-Liouvile difference operator. The result is a version of classical theorem on linear approximation and to derive them,we prove the variation of ...
Pham The Anh, Adam Czornik, Michał Niezabitowski   +2 more
doaj   +1 more source

On the Fractional Inequalities of the Milne Type

Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 10833-10840, 30 July 2025.
ABSTRACT Our investigations in this paper revolve around exploring fractional variants of inequalities of Milne type by applying twice differentiable convex mappings. Based on some principles of convexity, Hölder inequality, and power‐mean inequality, novel inequalities are derived.
Hüseyin Budak, Hasan Kara, Hasan Öğünmez   +2 more
wiley   +1 more source

A completeness-like relation for Bessel functions [PDF]

, 2015
Completeness relations are associated through Mercer's theorem to complete orthonormal basis of square integrable functions, and prescribe how a Dirac delta function can be decomposed into basis of eigenfunctions of a Sturm-Liouville problem.
Abramo, L. Raul, Reimberg, Paulo H. F.
core   +2 more sources

Studies on Fractional Differential Equations With Functional Boundary Condition by Inverse Operators

Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 11161-11170, 30 July 2025.
ABSTRACT Fractional differential equations (FDEs) generalize classical integer‐order calculus to noninteger orders, enabling the modeling of complex phenomena that classical equations cannot fully capture. Their study has become essential across science, engineering, and mathematics due to their unique ability to describe systems with nonlocal ...
Chenkuan Li
wiley   +1 more source