Differential Equations最新文献_第3页

Effectiveness of a Home-Based Pulmonary Rehabilitation Program in Veterans. 退伍军人家庭肺康复计划的有效性。

IF 2.8 4区数学

Differential Equations Pub Date : 2024-09-01 Epub Date: 2022-05-17 DOI: 10.1089/tmj.2022.0050

Kariann R Drwal, Delanie Hurst, Bonnie J Wakefield

{"title":"Effectiveness of a Home-Based Pulmonary Rehabilitation Program in Veterans.","authors":"Kariann R Drwal, Delanie Hurst, Bonnie J Wakefield","doi":"10.1089/tmj.2022.0050","DOIUrl":"10.1089/tmj.2022.0050","url":null,"abstract":"Purpose: This study examined the effectiveness and safety of a home-based pulmonary rehabilitation (HBPR) program in Veterans. Methods: Patients were evaluated from five Veteran Affairs facilities that enrolled in the 12-week program. Pre- to postchanges were completed on clinical outcomes using paired t-tests and the Wilcoxon signed rank sum test. Descriptive statistics were used for patient demographics, emergency room visits, and hospitalizations. Results: Two hundred eighty-five patients with a mean age of 69.6 ± 8.3 years enrolled in the HBPR program from October 2018 to March 2020. There was a 62% (n = 176) completion rate of both pre- and post assessments. Significant improvements were detected after completion of the HBPR program in dyspnea (modified Medical Research Council: 3.1 ± 1.1 vs. 1.9 ± 1.1; p < 0.0001); exercise capacity (six-minute walk distance: 263.1 m ± 96.6 m vs. 311.0 m ± 103.6 m; p < 0.0001; Duke Activity Status Index: 13.8 ± 9.6 vs. 20.0 ± 12.7; p < 0.0001; self-reported steps per day: 1514.5 ± 1360.4 vs. 3033.8 ± 2716.2; p < 0.0001); depression (patient health questionnaire-9: 8.3 ± 5.7 vs. 6.4 ± 5.1); nutrition habits (rate your plate, heart: 45.3 ± 9.0 vs. 48.9 ± 9.2; p < 0.0001); multicomponent assessment tools (BODE Index: 5.1 ± 2.5 vs. 3.4 ± 2.4; p < 0.0001), GOLD ABCD Assessment: p < 0.0009); and quality of life (chronic obstructive pulmonary disease assessment test: 25.4 ± 7.7 vs. 18.7 ± 8.5; p < 0.0001). No adverse events were reported due to participation in HBPR. Conclusions: The HBPR program is a safe and effective model and provides an additional option to address the gap in pulmonary rehabilitation access and utilization in the Veterans Affairs.","PeriodicalId":50580,"journal":{"name":"Differential Equations","volume":"36 1","pages":"2456-2465"},"PeriodicalIF":2.8,"publicationDate":"2024-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73423974","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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

Initial Value Problem for a Third-Order Nonlinear Integro-Differential Equation of Convolution Type 卷积型三阶非线性积分微分方程的初值问题

IF 0.6 4区数学

Differential Equations Pub Date : 2024-07-30 DOI: 10.1134/s0012266124040086

S. N. Askhabov

引用次数: 0

Well-Posed Solvability of Volterra Integro-Differential Equations Arising in Viscoelasticity Theory 粘弹性理论中出现的 Volterra 积分微分方程的良好求解性

IF 0.6 4区数学

Differential Equations Pub Date : 2024-07-30 DOI: 10.1134/s0012266124040098

D. V. Georgievskii, N. A. Rautian

引用次数: 0

On the Eighty-Fifth Anniversary of Viktor Antonovich Sadovnichii 纪念维克托-安东诺维奇-萨多夫尼奇诞辰八十五周年

IF 0.6 4区数学

Differential Equations Pub Date : 2024-07-30 DOI: 10.1134/s0012266124040013

引用次数: 0

On the Realization of Finite Essential Spectra of Oscillation Exponents of Two-Dimensional Differential Systems 论二维微分系统振荡指数有限本质谱的实现

IF 0.6 4区数学

Differential Equations Pub Date : 2024-07-30 DOI: 10.1134/s0012266124040062

A. Kh. Stash, N. A. Loboda

引用次数: 0

Singularly Perturbed Optimal Tracking Problem 奇异扰动优化跟踪问题

IF 0.6 4区数学

Differential Equations Pub Date : 2024-07-30 DOI: 10.1134/s0012266124040116

V. A. Sobolev

引用次数: 0

Christoffel–Darboux Formula for Polynomial Eigenfunctions of Second-Order Linear Differential Equations 二阶线性微分方程多项式特征函数的 Christoffel-Darboux 公式

IF 0.6 4区数学

Differential Equations Pub Date : 2024-07-30 DOI: 10.1134/s0012266124040037

V. E. Kruglov

引用次数: 0

Stabilization of a Switched System with Commensurate Delays under Slow Switchings 慢速切换下具有相应延迟的切换系统的稳定问题

IF 0.6 4区数学

Differential Equations Pub Date : 2024-07-30 DOI: 10.1134/s0012266124040104

A. V. Il’in, A. S. Fursov

引用次数: 0

Asymptotically Stable Solutions with Boundary and Internal Layers in Direct and Inverse Problems for a Singularly Perturbed Heat Equation with Nonlinear Thermal Diffusion 具有非线性热扩散的奇异扰动热方程的直接问题和逆问题中带有边界层和内部层的渐近稳定解

IF 0.6 4区数学

Differential Equations Pub Date : 2024-07-30 DOI: 10.1134/s0012266124040025

M. A. Davydova, G. D. Rublev

{"title":"Asymptotically Stable Solutions with Boundary and Internal Layers in Direct and Inverse Problems for a Singularly Perturbed Heat Equation with Nonlinear Thermal Diffusion","authors":"M. A. Davydova, G. D. Rublev","doi":"10.1134/s0012266124040025","DOIUrl":"https://doi.org/10.1134/s0012266124040025","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3> This paper proposes a new approach to the study of direct and inverse problems for a\u0000singularly perturbed heat equation with nonlinear temperature-dependent diffusion, based on the\u0000further development and use of asymptotic analysis methods in the nonlinear singularly perturbed\u0000reaction–diffusion–advection problems. The essence of the approach is presented using the\u0000example of one class of one-dimensional stationary problems with nonlinear boundary conditions,\u0000for which the case of applicability of asymptotic analysis is singled out. Sufficient conditions for\u0000the existence of classical solutions of the boundary layer type and the type of contrast structures\u0000are formulated, asymptotic approximations of an arbitrary order of accuracy to such solutions are\u0000constructed, algorithms for constructing formal asymptotics are substantiated, and the Lyapunov\u0000asymptotic stability of stationary solutions with boundary and internal layers as solutions of the\u0000corresponding parabolic problems is investigated. A class of nonlinear problems that take into\u0000account lateral heat exchange with the environment according to Newton’s law is considered.\u0000A theorem on the existence and uniqueness of a classical solution with boundary layers in\u0000problems of this type is proved. As applications of this research, methods for solving specific\u0000direct and inverse problems of nonlinear heat transfer related to increasing the operating efficiency\u0000of rectilinear heating elements in the smelting furnaces (heat exchangers) are presented, which\u0000include the calculation of thermal fields in the heating elements and a method for reconstructing\u0000thermal diffusion and heat transfer coefficients based on modeling data.\u0000","PeriodicalId":50580,"journal":{"name":"Differential Equations","volume":"56 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141867342","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 Inverse Problem for the Wave Equation with Two Nonlinear Terms 带有两个非线性项的波方程反问题

IF 0.6 4区数学

Differential Equations Pub Date : 2024-07-30 DOI: 10.1134/s0012266124040074

V. G. Romanov

引用次数: 0