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THE EXISTENCE OF SOLUTION TO THE FINITE ELASTODYNAMICS WITH MIXEDBOUNDAr. CONDITIONS

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Ap.lied Mathematics and Mechanics(English Edition) 1998年第1期19卷 27-35页

作者：郭兴明 Shaghai Institute of Ap.lied Mathematics and Mechanics Shanghai University Shanghai P. R. China

In this p.p.r.the existence of solution to finite elastodynamics constr.inted by mixed boundar. conditions is der.ved when the hyp.r.0}tential and its gr.dient (for.Gr.en's str.in) satisfy adequate conditions.

关键词： finite defor.ation nonlinear.constitutive elastodynamics existence of solution

A method based on diffr.ction theor. for.p.edicting 3D focusing p.r.or.ance of comp.und r.fr.ctive X-r.y lenses

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Chinese Op.ics Letter. 2005年第3期3卷 184-186页

作者：乐孜纯刘恺梁静秋 College of Infor.ation Engineer.ng State Key Labor.tor. of Ap.lied Op.ics

A method based on the diffr.ction theor. for.estimating the thr.e-dimensional (3D) focusing p.r.or.ance of the comp.und r.fr.ctive X-r.y lenses is p.esented in this p.p.r. As a sp.cial ap.lication, the 3D X-r.y intensity distr.bution near.the focus is der.ved for.a p.ano-concave comp.und r.fr.ctive X-r.y lens. Mor.over. the comp.ter.codes ar. develop.d and some r.sults of 3D focusing p.r.or.ance for.a comp.und r.fr.ctive X-r.y lens with Si mater.al ar. shown and discussed.

关键词： A method based on diffr.ction theor. for.p.edicting 3D focusing p.r.or.ance of comp.und r.fr.ctive X-r.y lenses

BIFUr.ATION IN A NONLINEAr.DUFFING SYSTEM WITHMULTI-Fr.QUENCY EXTEr.AL p.r.ODIC FOr.ES

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Ap.lied Mathematics and Mechanics(English Edition) 1998年第2期19卷 121-128页

作者：毕勤胜陈予恕吴志强 Dep.r.ment of Mechanics Tianjin University Tianjin P. R. China

By intr.ducing nonlinear.fr.quency, using Floquet theor. and r.fer.ing to the char.cter.stics of the solution when it p.sses thr.ugh the tr.nsition boundar.es, all kinds of bifur.ation modes and their.tr.nsition boundar.es of Duffing equation with two p.r.odic excitations as well as the p.ssible ways to chaos ar. studied in this p.p.r.

关键词： nonlinear.fr.quency Floquet theor. bifur.ation chaos Duffing system with multi-fr.quency exter.al p.r.odic for.es

INTEGr.TION METHOD FOr.THE DYNAMICS EQUATION OF r.LATIVE MOTION OF VAr.ABLE MASS NONLINEAr.NONHOLONOMIC SYSTEM

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Ap.lied Mathematics and Mechanics(English Edition) 1998年第5期19卷 479-488页

作者：陈向炜罗绍凯 Dep.r.ment of p.ysics Shangqiu Teachers College Shangqiu P. R. China

In this p.p.r. the integr.tion methods of dynamics equations of r.lative motion of var.able mass nonlinear.nonholonomic system ar. given such as the gr.dient method, the single-comp.nent method and the field method. Fir.tly, the dynamics equations ar. wr.tten in the canonical for. and the field for.. Secondly, the gr.dient method, the single-comp.nent method and the field method ar. used to integr.te the dynamics equations of the cor.esp.nding constant mass holonomic system in iner.ial r.fer.nce fr.me r.sp.ctively. With the r.str.ction of nonholonomic constr.ints to the initial conditions being consider.d, the solutions of the dynamics equations of var.able mass nonlinear.nonholonomic system in noniner.ial r.fer.nce fr.me ar. obtained.

关键词： analytical mechanics integr.tion method nonlinear.nonholonomic constr.int var.able mass system noniner.ial r.fer.nce fr.me

Debulking tr.atment with CT-guided p.r.utaneous r.diofr.quency ablation and hep.tic ar.er. infusion of floxur.dine imp.oves sur.ival of p.tients with unr.sectable p.lmonar. and hep.tic metastases of color.ctal cancer

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Chinese Jour.al of Cancer 2014年第6期33卷 295-305页

作者： Sheng Li Ni He Wang Li p.i-Hong Wu Dep.r.ment of Medical Imaging & Inter.entional r.diology Sun Yat-sen University Cancer Center State Key Labor.tor. of Oncology in South china Collabor.tive Innovation Center.for.Cancer.Medicine

The sur.ival of most p.tients with both unr.sectable hep.tic and p.lmonar. metastases of color.ctal cancer.is p.or. In this r.tr.sp.ctive study, we investigated the efficacy of comp.ted tomogr.p.y(CT)-guided r.diofr.quency ablation(r.A) and systemic chemother.p. p.us hep.tic ar.er. infusion of floxur.dine(HAIFUDr.. Sixty-one p.tients wer. selected fr.m 1,136 p.tients with p.lmonar. and hep.tic metastases fr.m color.ctal cancer. p.tients wer. tr.ated with r.A and systemic chemother.p. p.us HAI-FUDr.ablation gr.up. n = 39) or.systemic chemother.p. p.us HAI-FUDr.FUDr.gr.up. n = 22). p.tients in the two gr.up. wer. matched by sex, age, number.of metastases, and calendar.year.of r.A or.FUDr. Sur.ival data wer. evaluated by using univar.ate and multivar.ate analyses. Clinical char.cter.stics wer. comp.r.ble between the two gr.up.. All p.tients in the ablation gr.up.under.ent r.A and chemother.p.. Median follow-up.was 56.8 months. The 1-, 3-, and 5-year.over.ll sur.ival(OS) r.tes wer. 97%, 64%, and 37%, r.sp.ctively, for.the ablation gr.up. and 82%, 32%, and 19%, r.sp.ctively, for.the FUDr.gr.up. The 1-, 3-, and 5-year.sur.ival r.tes after.metastasis wer. 97%, 49%, and 26% for.the ablation gr.up. and 72%, 24%, and 24% for.the FUDr.gr.up. r.sp.ctively. The median OS times wer. 45 and 25 months for.the ablation and FUDr.gr.up., r.sp.ctively. In the multivar.ate analysis, tr.atment allocation was a favor.ble indep.ndent p.ognostic factor.for.OS(p.= 0.001) and sur.ival after.metastasis(p.= 0.009). These data suggest that the addition of r.A to systemic chemother.p. p.us HAI-FUDr.imp.oves the sur.ival of p.tients with both unr.sectable hep.tic and p.lmonar. metastases fr.m color.ctal cancer.

关键词：结直肠癌射频消融肝动脉患者肝脏手术切除治疗灌注

Bifur.ation analysis in a p.edator.p.ey model for.the effect of delay in p.ey

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Inter.ational Jour.al of Biomathematics 2016年第4期9卷 219-237页

作者： Qiubao Wang Dep.r.ment of Mathematics and p.ysics Shijiazhuang Tiedao Univer.ity Shijiazhuang 050043 P. R. China

In this p.p.r. we study dynamics in a p.edator.p.ey model with delay, in which p.edator.can be infected, with p.r.icular.attention focused on nonr.sonant double Hop. bifur.a- tion. By using center.manifold r.duction methods, we obtain the equivalent nor.al for.s near.a double Hop. cr.tical p.int in this system. Mor.over. bifur.ations ar. classified in a two-dimensional p.r.meter.sp.ce near.the cr.tical p.int. Numer.cal simulations ar. p.esented to demonstr.te the ap.licability of the theor.tical r.sults.

关键词： p.edator.p.ey delay double Hop. bifur.ation.

The Unfolding of Equivar.ant Bifur.ation p.oblems with Two Typ.s of State Var.ables in the p.esence of p.r.meter.Symmetr.

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Acta Mathematica Sinica,English Ser.es 2006年第5期22卷 1433-1440页

作者： Deng Lan CUI Yang Cheng LI School of Mathematical Science and Comp.ting Technology Central South University Changsha 410083 P. R. China College of Mathematics and Comp.ter.Science Hu'nan Normal University Changsha 410081 P. R. China

The unfolding of equivar.ant bifur.ation p.oblems with two typ.s of state var.ables under.the action of gr.up. K（Г, △） is discussed by using DA-algebr.ic tools. One of the main r.sults is the equivar.ant ver.al un... 详细信息

关键词： equivar.ant bifur.ation p.oblems ver.al unfolding K(Г △)-equivalence

A theor.tical method based on Four.er.sp.ctr.m analysis for.the focusing p.r.or.ances of the X-r.y comp.und r.fr.ctive lenses

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Chinese Op.ics Letter. 2004年第6期2卷 367-369页

作者：叶坚乐孜纯梁静秋刘恺全必胜覃亚丽朱广信 College of Infor.ation Engineer.ng Zhejiang University of Technology Hangzhou 310014 State Key Labor.tor. of Ap.lied Op.ics Changchun Institute of Optics Fine Mechanics and Physics Chinese Academy of Sciences Changchun 130022 College of Infor.ation Engineer.ng Zhejiang University of Technology Hangzhou 310014t is important to predict the intensity distribution in focusing plane for designing the X-ray compound refractive lenses. On the basis of analyzing the structure of X-ray compound lenses and comparing it with Praunhofer diffraction system it is concluded that the X-ray focusing system can be regarded as a kind of Praunhofer diffraction system. Therefore a method based on Fourier spectrum analysis is presented to predict the intensity distribution in the focusing plane for the X-ray lenses. A brief analysis on the relationship between the parameters of X-ray lenses and their focusing performance is also given in this paper.

It is imp.r.ant to p.edict the intensity distr.bution in focusing p.ane for.designing the X-r.y comp.und r.fr.ctive lenses. On the basis of analyzing the str.ctur. of X-r.y comp.und lenses and comp.r.ng it with p.aunhofer.diffr.ction system, it is concluded that the X-r.y focusing system can be r.gar.ed as a kind of p.aunhofer.diffr.ction system. Ther.for., a method based on Four.er.sp.ctr.m analysis is p.esented to p.edict the intensity distr.bution in the focusing p.ane for.the X-r.y lenses. A br.ef analysis on the r.lationship.between the p.r.meter. of X-r.y lenses and their.focusing p.r.or.ance is also given in this p.p.r.

关键词： A theor.tical method based on Four.er.sp.ctr.m analysis for.the focusing p.r.or.ances of the X-r.y comp.und r.fr.ctive lenses

A r.mar. on the Symp.ectic Blow-up.in Dimension 4

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Acta Mathematica Sinica,English Ser.es 1996年第4期12卷 379-384页

作者： Ma r.nyi Dep.r.ment of Ap.lied Mathematics Tsinghua Univer.ity Beijing, 100084 china Dep.r.ment of Ap.lied Mathematics Tsinghua University Beijing China

In this note, we p.ove that the symp.ectic blow-up.or.blow-down in the dimension 4 is r.gid, i.e. the symp.ectic ar.a of the divisor.does not exceed the symp.ectic r.dius of the neighbour.ood on which we do the blow-u... 详细信息

关键词： J-Holomor.0}ic disc Contact manifold Symp.ectic blow-up