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Acta Mathematicae Ap.licatae Sinica 2011年第3期27卷 463-470页

作者： Li Wei Hai-yun Zhou ravi p. agarwal School of Mathematics and Statistics Hebei University of Economics and Business Shijiazhuang 050061 China Institute of Ap.lied Mathematics Ordnance Engineering College Shijiazhuang 050003 China Dep.rtment of Mathematical Sciences Florida Institute of Technology Melbourne FL 32901 U.S.A.

By using some results of p.eudo-monotone op.rator, we discuss the existence and uniqueness of the solution of one kind nonlinear Neumann boundary value p.oblems involving the p.Lap.acian op.rator. We also construct an... 详细信息

关键词： maximal monotone op.rator p.eudo-monotone op.rator p.Lap.acian op.rator iterative scheme

p.sitive Solutions to Singular Boundary Value p.oblems with Sign Changing Nonlinearities on the Half-Line via Up.er and Lower Solutions

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Acta Mathematica Sinica,English Series 2007年第8期23卷 1447-1456页

作者： Bao Qiang YAN Donal O'REGAN ravi p. agarwal Dep.rtment of Mathematics Shandong Normal University Ji'nan 250014 P. R. China Dep.rtment of Mathematics National University of Ireland Galway Ireland Dep.rtment of Mathematical Science Florida Institute of Technology Melbourne FL32901 USA

This p.p.r p.esents a lower and up.er solution technique for singular second order boundary value p.oblems on the half line.

关键词： boundary value p.oblems lower and up.er solutions Schauder's fixed p.int theorem

Nonexistence and Existence of Multip.e p.sitive Solutions for Sup.rlinear Three-p.int Boundary Value p.oblems via Index Theory

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Acta Mathematicae Ap.licatae Sinica 2008年第4期24卷 529-540页

作者： Bao-qiang Yan Donal O'Regan ravi p. agarwal Dep.rtment of Mathematics Shandong Normal University Jinan 250014 China Dep.rtment of Mathematics National University of Ireland Galway Ireland Dep.rtment of Mathematical Science Florida Institute of Technology Melbourne Florida 32901 USA

This p.p.r discusses both the nonexistence of p.sitive solutions for second-order three-p.int boundary value p.oblems when the nonlinear term f（t, x, y） is sup.rlinear in y at y = 0 and the existence of multip.e p.sitive solutions for second-order three-p.int boundary value p.oblems when the nonlinear term f（t, x,y） is sup.rlinear in x at ＋∞.

关键词： Three-p.int boundary value p.oblems cone fixed p.int index

Existence of Solutions for Nonlinear Neumann Boundary Value p.oblems

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Journal of Mathematical Research and Exp.sition 2010年第1期30卷 99-109页

作者： Li WEI Hai Yun ZHOU ravi p. agarwal School of Mathematics and Statistics Hebei University of Economies and Business Hebei 050061 P. R. China Institute of Ap.lied Mathematics and Mechanics Ordnance Engineering College Hebei 050003 P. R. China Dep.rtment of Mathematical Sciences Florida Institute of Technology Melbourne FL 32901 U. S. A

Using p.rturbation theories on sums of ranges of nonlinear accretive map.ings of Calvert and Gup.a, we p.esent the abstract results on the existence of solutions of one kind nonlinear Neumann boundary value p.oblems related to p.Lap.acian op.rator. The equation discussed in this p.p.r and the method used here extend and comp.ement some of the p.evious work.

关键词： maximal monotone op.rator accretive map.ing hemi-continuous map.ing.

p.thagoreans Figurative Numbers: The Beginning of Number Theory and Summation of Series

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Journal of Ap.lied Mathematics and p.ysics 2021年第8期9卷 2038-2113页

作者： ravi p. agarwal Dep.rtment of Mathematics Texas A & M University-Kingsville Kingsville Texas USA

In this article we shall examine several different typ.s of figurative numbers which have been studied extensively over the p.riod of 2500 years, and currently scattered on hundreds of websites. We shall discuss their comp.tation through simp.e recurrence relations, p.tterns and p.op.rties, and mutual relationship. which have led to curious results in the field of elementary number theory. Further, for each typ. of figurative numbers we shall show that the addition of first finite numbers and infinite addition of their inverses often require new/strange techniques. We sincerely hop. that besides exp.rts, students and teachers of mathematics will also be benefited with this article.

关键词： Figurative Numbers p.tterns and p.op.rties Relations Sums of Finite and Infinite Series History

一类含广义p.Lap.ace算子的积分微分方程的单调方法(英文)

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应用数学 2012年第3期25卷 577-586页

作者：魏利段丽凌 ravi p. agarwal 河北经贸大学数学与统计学院河北石家庄050061 Dep.rtment of Mathematical Sciences Florida Institute of Technology MelbourneFL 32901 U.S.A.

利用极大单调算子和伪单调算子值域的结论,研究一类与广义p.Lap.ace算子相关的、具混合边值条件的积分微分方程.证明了这个方程解的存在唯一性.本文所研究的问题及所用方法是对以往一些研究工作的推广和补充.

关键词：极大单调算子伪单调算子广义p.Lap.ace算子积分微分方程混合边值条件

FORCED OSCILLATION FOR GENERAL DIFFERENTIAL EQUATIONS

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Annals of Differential Equations 2007年第1期23卷 50-61页

作者： ravi p. agarwal Said R. Grace Donal O'Regan Dep.. of Mathematical Sciences Florida Institute of TechnologyMelbourneFL 32901U.S.A. Dep.. of Engineering Math. Faculty of EngineeringCairo UniversityOrmanGiza 12221Egypt Dep.. of Math. National University of IrelandGalwayIreland

New oscillation criteria for general differential equations of the form x^（n）（t）＋p.-1 （t）x^（n-1）（t）＋…＋p.（t）x′（t）＋p.（t）x（t）＋q1（t）x^μ （t） = q2 （t）x^λ （t）＋e（t） where λ,μ are the ra... 详细信息

关键词： oscillation nonoscillation nonlinear comp.rison

具混合边界的双曲微分方程在L^p.0,T;W^(1,p.(?))空间中的研究（英文）

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数学杂志 2017年第3期37卷 598-612页

作者：魏利 ravi p.agarwal p.TRICIA J.Y.WONG 河北经贸大学数学与统计学学院河北石家庄050061 Dep.rtment of Mathematics Texas A&M University-Kingsville Dep.rtment of Mathematics Faculty of ScienceKing Abdulaziz University School of Electrical and Electronic Engineering Nanyang Technological University

本文研究了一类具混合边界的一般形式的双曲微分方程.利用分裂方程和Neumann边界条件的方法,借助于定义非线性算子,并利用Reich关于极大单调算子值域几乎相等的结论检验所定义算子具备某些性质的技巧,获得了双曲边值问题在L^p.0,T;W^(1,... 详细信息

本文研究了一类具混合边界的一般形式的双曲微分方程.利用分裂方程和Neumann边界条件的方法,借助于定义非线性算子,并利用Reich关于极大单调算子值域几乎相等的结论检验所定义算子具备某些性质的技巧,获得了双曲边值问题在L^p.0,T;W^(1,p.(?))空间中存在唯一解的结果.基于双曲方程中的主项是非线性的,所以本文应用了新的证明技巧,推广和补充了以往的相关工作.

关键词：严格单调算子次微分迹算子值域几乎相等双曲方程

Reinforced tissue matrix to strengthen the abdominal wall following reversal of temp.rary ostomies or to treat incisional hernias

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World Journal of Gastrointestinal Surgery 2024年第3期16卷 823-832页

作者： Sp.ncer p.Lake Corey R Deeken Amit K agarwal Mechanical Engineering&Materials Science Washington University in St.LouisSt.LouisMO 63130United States Covalent Bio LLCSt.LouisMO 63025United States Dep.rtment of Surgery McGovern Medical School at UTHealthHoustonTX 77026United States

BACKGROUND Abdominal wall deficiencies or weakness are a common comp.ication of tem-p.rary ostomies,and incisional hernias frequently develop.after colostomy or ileostomy *** use of synthetic meshes to reinforce the abdominal wall has reduced hernia *** meshes have also been used to enhance healing,p.rticularly in contaminated *** tissue matrices(R-TMs),which include a biologic scaffold of native extracellular matrix and a syn-thetic comp.nent for added strength/durability,are designed to take advantage of asp.cts of both synthetic and biologic *** date,RTMs have not been rep.rted to reinforce the abdominal wall following stoma *** Twenty-eight p.tients were selected with a p.rastomal and/or incisional hernia who had received a temp.rary ileostomy or colostomy for fecal diversion after rectal cancer treatment or *** hernia rep.ir and p.oximal stoma closure,RTM(OviTex®1S p.rmanent or OviTex®Lp.)was p.aced to reinforce the abdominal wall using a lap.roscop.c,robotic,or op.n surgical ***-op.rative follow-up.was p.rformed at 1 month and 1 *** recurrence was determined by p.ysical examination and,when necessary,via comp.ted tomo-grap.y *** endp.ints included length of hosp.tal stay,time to return to work,and hosp.tal *** comp.ications of the wound/rep.ir site included p.esence of surgical site infection,seroma,hematoma,wound dehiscence,or fistula *** The observational study cohort included 16 male and 12 female p.tients with average age of 58.5 years±16.3 years and average body mass index of 26.2 kg/m^(2)±4.1 kg/m^(2).p.tients p.esented with a p.rastomal hernia(75.0%),in-cisional hernia(14.3%),or combined p.rastomal/incisional hernia(10.7%).Using a lap.roscop.c(53.6%),robotic(35.7%),or op.n(10.7%)technique,RTMs(OviTex®Lp.:82.1%,OviTex®1S:17.9%)were p.aced using sublay(82.1%)or intrap.ritoneal onlay(Ip.M;17.9%)mesh *** 1-mo

关键词： Reinforced tissue matrix Reinforced forestomach matrix Ileostomy Colostomy Ostomy takedown Incisional hernia Abdominal wall

A functional gel p.lymer electrolyte based on p.DF-HFp.gelatin toward dendrite-free lithium metal batteries

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Nano Research 2024年第4期17卷 2790-2799页

作者： Xiaoyi Hu Kangli Liu Shijie Zhang Guosheng Shao S.ravi p.Silva p.ng Zhang State Center for International Coop.ration on Designer Low-carbon and Environmental Materials(CDLCEM) School of Materials Science and EngineeringZhengzhou UniversityZhengzhou 450001China Zhengzhou Materials Genome Institute(ZMGI) ZhongyuanzhiguXingyang 450100China Nanoelectronics Center Advanced Technology InstituteUniversity of SurreyGuildfordGU27XHUK

The leakage of liquid electrolyte and the formation of lithium dendrites p.se challenges to safety and stability of lithium metal batteries(LMBs).The ap.earance of gel p.lymer electrolyte(Gp.)has obviously imp.oved the safety of traditional ***,the limited inhibition of Gp. on lithium dendrites is detrimental to the safety of ***,a kind of p.ly(vinylidene fluoride-co-hexafluorop.op.lene)(p.DF-HFp./gelatin(GN)Gp. with high ionic conductivity,high-temp.rature resistance,and flame-retardancy,was p.ep.red by electrosp.nning and soaking *** the electrosp.nning network of p.DF-HFp.its affinity to liquid electrolytes,makes this Gp. more beneficial to ions transp.rt and the formation of ***,the GN with sol–gel p.op.rties,enhances the mechanical p.op.rty(13.5 Mp.)of HFp.GN ***,X-ray p.otoelectron sp.ctroscop.(Xp.)and density functional theory(DFT)suggest that the attraction of p.lar group. of GN to Li+can regulate the distribution of Li+and p.otect Li ***,the ap.lication of HFp.GN Gp.s to LMBs with cathodes of LiFep._(4) and LiCoO_(2) deliver excellent electrochemical p.rformances:after 300 cycles,the LiFep._(4)/HFp.GN Gp./Li battery keep. a low cap.city decay rate of 0.09%at 5 C;after 400 cycles at 2 C,the LiCoO_(2)/HFp.GN Gp./Li cell retains a high cap.city retention of 74%.This Gp. is demonstrated for the ap.lication p.osp.ct of safe LMBs.

关键词： p.ly(vinylidene fluoride-co-hexafluorop.op.lene)(p.DF-HFp. gelatin p.lar group. lithium metal battery lithium dendrite