Journal of Mathematical Analysis and Applications最新文献_第6页

On the well-posedness of the unsteady velocity-vorticity-helicity formulation of the Navier–Stokes equations Navier-Stokes方程非定常速度-涡度-螺旋形式的适定性

IF 1.2 3区数学

Journal of Mathematical Analysis and Applications Pub Date : 2026-07-01 Epub Date: 2026-01-14 DOI: 10.1016/j.jmaa.2026.130421

K. Benmoussa , J. Deteix , D. Yakoubi

引用次数: 0

A Bourgain-Brezis-Mironescu -type characterization for Sobolev differential forms Sobolev微分形式的Bourgain-Brezis-Mironescu型刻划

IF 1.2 3区数学

Journal of Mathematical Analysis and Applications Pub Date : 2026-07-01 Epub Date: 2026-01-15 DOI: 10.1016/j.jmaa.2026.130435

Ilmari Kangasniemi

引用次数: 0

Existence, uniqueness of solutions to a coupled ODE-PDE model of invasive tree species, and stability of steady state solutions 入侵树种ODE-PDE耦合模型解的存在唯一性及稳态解的稳定性

IF 1.2 3区数学

Journal of Mathematical Analysis and Applications Pub Date : 2026-07-01 Epub Date: 2026-01-14 DOI: 10.1016/j.jmaa.2026.130418

M. Efendiev , M. Ôtani , S. Sivaloganathan

{"title":"Existence, uniqueness of solutions to a coupled ODE-PDE model of invasive tree species, and stability of steady state solutions","authors":"M. Efendiev , M. Ôtani , S. Sivaloganathan","doi":"10.1016/j.jmaa.2026.130418","DOIUrl":"10.1016/j.jmaa.2026.130418","url":null,"abstract":"<div><div>In a recent paper, E. Hughes et al. introduced a coupled ODE-PDE model to study the propagation of invasive tree species. These species, often originating from the Pinacea family, have had a demonstrably negative impact on grassland ecosystems worldwide (particularly in regions such as New Zealand, South Africa, and Chile). In this paper, we apply the classical subdifferential operator theory due to H. Brézis <span><span>[1]</span></span> to establish existence and uniqueness of solutions to the coupled ODE-PDE model for studying the propagation of invasive tree species in grassland ecosystems. Ensuring precise prediction of invasive tree population behaviour in grasslands is critical for effective invasive species management. To this purpose, we further prove the existence of a unique stationary state and discuss its stability. In this process, <span><math><msup><mrow><mi>L</mi></mrow><mrow><mo>∞</mo></mrow></msup></math></span>-energy method plays a crucial role.</div><div>A subsequent study will delve into the long-term dynamics of the model, investigating the existence of travelling wave solutions in unbounded domains.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"559 1","pages":"Article 130418"},"PeriodicalIF":1.2,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146024438","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

An existence theorem for non-pluripolar complex Monge-Ampère type equations on hyperconvex domains 超凸域上非多极复monge - ampantere型方程的存在性定理

IF 1.2 3区数学

Journal of Mathematical Analysis and Applications Pub Date : 2026-07-01 Epub Date: 2026-01-09 DOI: 10.1016/j.jmaa.2026.130403

Thai Duong Do , Ngoc Thanh Cong Pham

引用次数: 0

The logarithmic Minkowski problem for triangular frustum 三角形截锥的对数Minkowski问题

IF 1.2 3区数学

Journal of Mathematical Analysis and Applications Pub Date : 2026-07-01 Epub Date: 2026-01-08 DOI: 10.1016/j.jmaa.2026.130401

Chenglin Geng, Jiawei Xiong

引用次数: 0

The John inclusion for log-concave functions 对数凹函数的约翰包含

IF 1.2 3区数学

Journal of Mathematical Analysis and Applications Pub Date : 2026-07-01 Epub Date: 2026-01-15 DOI: 10.1016/j.jmaa.2026.130441

Grigory Ivanov

引用次数: 0

A fixed-time GNN with enhanced performance via simplified activation for online equality-constrained quadratic programming and its robotic application 基于简化激活的在线等式约束二次规划固定时间GNN及其机器人应用

IF 1.2 3区数学

Journal of Mathematical Analysis and Applications Pub Date : 2026-07-01 Epub Date: 2026-01-28 DOI: 10.1016/j.jmaa.2026.130468

Xuanjiao Lv, Junying Yuan

{"title":"A fixed-time GNN with enhanced performance via simplified activation for online equality-constrained quadratic programming and its robotic application","authors":"Xuanjiao Lv, Junying Yuan","doi":"10.1016/j.jmaa.2026.130468","DOIUrl":"10.1016/j.jmaa.2026.130468","url":null,"abstract":"<div><div>Equality-constrained quadratic programming (ECQP) commands a preeminent place in the field of optimization theory. The gradient neural network (GNN), distinguished by intrinsic parallel processing capability and natural avoidance of matrix inversion, has emerged as a preeminent and impactful approach for online solving ECQP problems. However, a significant drawback of most existing GNN models for solving ECQP problems lies in their reliance on complex activation functions (AFs) to achieve the desired fixed-time convergence. This reliance not only increases the amount of computation but also drives up the costs associated with potential hardware implementation. To remedy this drawback, a fixed-time GNN model with enhanced performance via a simplified AF is proposed to address the ECQP problem in the current study. Theoretical analyses in terms of global stability and fixed-time convergence property of the proposed GNN model are detailed. The simulation results executed on the MATLAB platform further corroborate the correctness of the theoretical analyses, as well as the superiority of the proposed GNN model. Finally, to showcase the practicality of the proposed GNN model, an application of robotic path tracking is simulated and presented.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"559 1","pages":"Article 130468"},"PeriodicalIF":1.2,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146174227","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Special measures of smoothness for approximation by sampling operators in Lp(Rd) Lp（Rd）中抽样算子逼近的特殊平滑测度

IF 1.2 3区数学

Journal of Mathematical Analysis and Applications Pub Date : 2026-07-01 Epub Date: 2026-01-15 DOI: 10.1016/j.jmaa.2026.130439

Yurii Kolomoitsev

{"title":"Special measures of smoothness for approximation by sampling operators in Lp(Rd)","authors":"Yurii Kolomoitsev","doi":"10.1016/j.jmaa.2026.130439","DOIUrl":"10.1016/j.jmaa.2026.130439","url":null,"abstract":"<div><div>Traditional measures of smoothness often fail to provide accurate <span><math><msub><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msub></math></span>-error estimates for approximation by sampling or interpolation operators, especially for functions with low smoothness. To address this issue, we introduce a modified measure of smoothness that incorporates the local behavior of a function at the sampling points through the use of averaged operators. With this new tool, we obtain matching direct and inverse error estimates for a wide class of sampling operators and functions in <span><math><msub><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msub></math></span> spaces. Additionally, we derive a criterion for the convergence of sampling operators in <span><math><msub><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msub></math></span>, identify conditions that ensure the exact rate of approximation, construct realizations of <em>K</em>-functionals based on these operators, and study the smoothness properties of sampling operators. We also demonstrate how our results apply to several well-known operators, including the classical Whittaker-Shannon sampling operator, sampling operators generated by <em>B</em>-splines, and those based on the Gaussian.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"559 1","pages":"Article 130439"},"PeriodicalIF":1.2,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146024440","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Integral representation for a product of two Jacobi functions of the second kind 两个第二类雅可比函数积的积分表示

IF 1.2 3区数学

Journal of Mathematical Analysis and Applications Pub Date : 2026-07-01 Epub Date: 2026-01-20 DOI: 10.1016/j.jmaa.2026.130450

Howard S. Cohl , Loyal Durand

{"title":"Integral representation for a product of two Jacobi functions of the second kind","authors":"Howard S. Cohl , Loyal Durand","doi":"10.1016/j.jmaa.2026.130450","DOIUrl":"10.1016/j.jmaa.2026.130450","url":null,"abstract":"<div><div>By starting with Durand's double integral representation for a product of two Jacobi functions of the second kind, we derive an integral representation for a product of two Jacobi functions of the second kind in kernel form. We also derive a Bateman-type sum for a product of two Jacobi functions of the second kind. From this integral representation we derive integral representations for the Jacobi function of the first kind in both the hyperbolic and trigonometric contexts. From the integral representations for Jacobi functions, we also derive integral representations for products of limiting functions such as associated Legendre functions of the first and second kind, Ferrers functions and also Gegenbauer functions of the first and second kind. By examining the behavior of one of these products near singularities of the relevant functions, we also derive integral representations for single functions, including a Laplace-type integral representation for the Jacobi function of the second kind. Finally, we use the product formulas for the functions of the second kind to derive Nicholson-type integral relations for the sums of squares of Jacobi functions of the first and second kinds, and in a confluent limit, Laguerre functions of the first and second kinds, which generalize the relation <span><math><msup><mrow><mi>e</mi></mrow><mrow><mi>i</mi><mi>x</mi></mrow></msup><msup><mrow><mi>e</mi></mrow><mrow><mo>−</mo><mi>i</mi><mi>x</mi></mrow></msup><mo>=</mo><mn>1</mn></math></span> to those functions.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"559 1","pages":"Article 130450"},"PeriodicalIF":1.2,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146024433","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Global positive bounded solutions for equations with regularly varying operator 正则变算子方程的整体正有界解

IF 1.2 3区数学

Journal of Mathematical Analysis and Applications Pub Date : 2026-07-01 Epub Date: 2026-01-19 DOI: 10.1016/j.jmaa.2026.130443

Zuzana Došlá , Mauro Marini , Serena Matucci

引用次数: 0