检索结果-南通市图书馆

The.Asymptotics of the.He.t Se.igroup for a Ge.e.al Bounde. Domain with Mixe. Boundary Conditions

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Acta Mathe.atica Sinica,e.glish Se.ie. 2000年第4期16卷 627-636页

作者： e. M. e. zayed Mathe.atics De.artme.t. Faculty of Scie.ce. Zagazig Unive.sity. Zagazig. e.ypt

Small-time.asymptotics of the.trace.of the.he.t se.igroup θ（t）=Σv=1x e.p（-tμv）. whe.e.{μv} are.the.e.ge.value. of the.ue.ative.Laplacian -Δ= -Σβ=12（/xβ）2 in the.（x1, x2）-plane. is studie. for a ge.e.al bounde. domain Ω with a smooth boundary Ω. whe.e.a finite.numbe. of Dirichle.. Ne.mann and Robin boundary conditions, on the.pie.e.ise.smooth parts Γi（i=1, ..., n） of )Ω such that)Ω=∪i=1nΓ are.conside.e.. Some.ge.me.rical prope.tie. associate. with Ω are.de.e.mine.

关键词： He.t se.igroup Inve.se.proble. Mixe. boundary conditions e.ge.value.

The.3D Inve.se.Proble. of the.Wave.e.uation for a Ge.e.al Multi-conne.te. Vibrating Me.brane.with a Finite.Numbe. of Pie.e.ise.Smooth Boundary Conditions

在线全文

学校读者我要写书评

暂无评论

Acta Mathe.atica Sinica,e.glish Se.ie. 2005年第4期21卷 733-752页

作者： e.M.e.zayed Mathe.atics De.artme.t Faculty of ScienceZagazig UniversityZagazig.Egypt

The.trace.of the.wave.ke.ne. μ（t） =∑ω=1^∞ e.p（-ite.^1/2）, whe.e.{e.}ω^∞=1 are.the.e.ge.value. of the.ne.ative.Laplacian -△↓2 = -∑k^3=1 （δ/δxk）^2 in the.（x^1, x^2, x^3）-space. is studie. for a varie.y of bounde. domains, whe.e.-∞ 〈 t 〈 ∞ and i= √-1. The.de.e.de.ce.of μ （t） on the.conne.tivity of bounde. domains and the.Dirichle., Ne.mann and Robin boundary conditions are.analyze.. Particular atte.tion is give. for a multi-conne.te. vibrating me.brane.Ω in Ra surrounde. by simply conne.te. bounde. domains Ω j with smooth bounding surface. S j （j = 1,……, n）, whe.e.a finite.numbe. of pie.e.ise.smooth Dirichle., Ne.mann and Robin boundary conditions on the.pie.e.ise.smooth compone.ts Si^＊（i = 1 ＋ kj-1,……, kj） of the.bounding surface. S j are.conside.e., such that S j = Ui-1＋kj-1^kj Si^＊, whe.e.k0=0. The.basic proble. is to e.tract information on the.ge.me.ry Ω by using the.wave.e.uation approach from a comple.e.knowle.ge.of its e.ge.value.. Some.ge.me.rical quantitie. of Ω （e.g. the.volume. the.surface.are., the.me.n curvuture.and the.Gaussian curvature. are.de.e.mine. from the.asymptotic e.pansion ofe.pansion of μ（t） for small │t│.

关键词： Inve.se.proble. Wave.ke.nal e.ge.value. Gre.ns function Multi-conne.te. vibrating me.brane Ne.ative.Laplacian He.t ke.ne.

Asymptotic e.pansions of the.He.t Ke.ne. of the.Laplacian for Ge.e.al Annular Bounde. Domains with Robin Boundary Conditions：Furthe. Re.ults

在线全文

学校读者我要写书评

暂无评论

Acta Mathe.atica Sinica,e.glish Se.ie. 2003年第4期19卷 679-694页

作者： e.M.e.zayed De.artme.tofMathe.atics FacultyofScienceZagazigUniversityZagazigEgypt

The.asymptotic e.pansions of the.trace.of the.he.t ke.ne. Θ(t) = Σ_(v =1)~∞e.p(-tλ_v) for small positive.t, whe.e.{λ_v} are.the.e.ge.value. of the.ne.ative.Laplacian-△_n = -Σ_(i = 1)~n(partial de.iv/(partial de.iv)x^i)~2 in R^n (n = 2 or 3), are.studie. for age.e.al annular bounde. domain Ω with a smooth inne. boundary (partial de.iv)Ω_1 and a smoothoute. boundary (partial de.iv)Ω_2, whe.e.a finite.numbe. of pie.e.ise.smooth Robin boundaryconditions (partial de.iv/(partial de.iv)n_j + γ_j)φ = 0 on the.compone.ts Γ_j(j = 1, …, k) of(partial de.iv)Ω_1 and on the.compone.ts Γ_j(j = k + 1, …, m) of (partial de.iv)Ω_2 are.onside.e. such that (partial de.iv)Ω_1 = ∪_(j = 1)~kΓ_j and (partial de.iv)Ω_2 = ∪_(j = k +1)~mΓ_j and whe.e.the.coe.ficie.ts γ_j(j = 1, …, m) are.pie.e.ise.smooth positive.functions. Some.pplications of Θ(t) for an ide.l gas e.close. in the.ge.e.al annular bounde. domain Ω are.*** re.ults are.also obtaine..

关键词： inve.se.proble. he.t ke.ne. e.ge.value. Robin boundary conditions classical ide.l gas

INVe.Se.PROBLe.S FOR A Ge.e.AL MULTI-CONNe.Te. BOUNDe. DRUM WITH APPLICATIONS IN PHYSICS

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Acta Mathe.atica Scie.tia 2003年第1期23卷 104-116页

作者： e.M.e.zayed Mathe.atics De.artme.t Faculty of Science Zagazig University Zagazig Egypt

This pape. studie. the.influe.ce.of a finite.containe. on an ide.l *** trace.of the.he.t ke.ne. (t) =e.p, whe.e.are.the.e.ge.value. of the.ne.ative.Laplacian -in Rn(n = 2 or 3), is studie. for a ge.e.al multi-conne.te. bounde. drum ft which is surrounde. by simply conne.te. bounde. domains Ωi with smooth boundarie. Ωi(i = 1,… ,m) whe.e.the.Dirichle., Ne.mann and Robin boundary conditions on Ωi(i = 1,…,m) are.conside.e.. Some.ge.me.rical prope.tie. of Ω are.de.e.mine.. The.the.modynamic quantitie. for an ide.l gas e.close. in Ω are.e.amine. by using the.asymptotic e.pansions of (t) for short-time.t. It is shown that the.ide.l gas can not fe.l the.shape.of its containe. Ω, although it can fe.l some.ge.me.rical prope.tie. of it.

关键词： Inve.se.proble. he.t ke.ne. e.ge.value. an ide.l gas multi-conne.te. bounde. domain

The.Asymptotics of the.Two-Dime.sional Wave.e.uation for a Ge.e.al Multi-Conne.te. Vibrating Me.brane.with Pie.e.ise.Smooth Robin Boundary Conditions

在线全文

学校读者我要写书评

暂无评论

Acta Mathe.atica Sinica,e.glish Se.ie. 2004年第2期20卷 209-222页

作者： e.M.e.zayed De.artme.t of Mathe.atics Faculty of ScienceZagazig UniversityZagazigEgypt

The.asymptotic e.pansion for small |t| of the.trace.of the.wave.ke.ne. , whe.e. and are.the.e.ge.value. of the.ne.ative.Laplacian in the.(x 2,x 2)-plane. is studie. for a multi-conne.te. vibrating me.brane.? in R 2 surrounde. by simply conne.te. bounde. domains ? j with smooth boundarie. ?? j (j = 1, ..., n), whe.e.a finite.numbe. of pie.e.ise.smooth Robin boundary conditions on the.pie.e.ise.smooth compone.ts Γ i (i = 1+k j?1, ..., k j ) of the.boundarie. ?? j are.conside.e., such that and k 0 = 0. The.basic proble. is to e.tract information on the.ge.me.ry of ? using the.wave.e.uation approach. Some.ge.me.ric quantitie. of ? (e. g. the.are. of ?, the.total le.gths of its boundary, the.curvature.of its boundary, the.numbe. of the.hole. of ?, e.c.) are.de.e.mine. from the.asymptotic e.pansion of the.trace.of the.wave.ke.ne. for small |t|.

关键词： Inve.se.proble. Wave.ke.ne. e.ge.value. Robin boundary conditions Vibrating me.brane He.ring the.shape.of a drum

DNA Dynamics Studie. Using the.Homoge.e.us Balance.Me.hod

在线全文

学校读者我要写书评

暂无评论

Chine.e.Physics Le.te.s 2012年第8期29卷 9-11页

作者： e.M.e.zayed A.H.Arnous Mathe.atics De.artme.t Faculty of ScienceZagazig UniversityP.O.Box 44519ZagazigEgypt

We.e.ploy the.homoge.e.us balance.me.hod to construct the.trave.ing wave. of the.nonline.r vibrational dynamics mode.ing of *** ne. e.plicit forms of trave.ing wave. are.*** is shown that this me.hod provide. us with a powe.ful mathe.atical tool for solving nonline.r e.olution e.uations in mathe.atical *** and we.kne.se. of the.propose. me.hod are.discusse..

关键词： trave.ing nonline.r me.hod

Corre.tion:De.p Le.rning-e.hance. Brain Tumor Pre.iction via e.tropy-Code. BPSO in CIe.AB Color Space

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Compute.s, Mate.ials & Continua 2025年第1期82卷 1461-1461页

作者： Mudassir Khalil Muhammad Imran Sharif ahmed Nae.m Muhammad Umar Chaudhry Hafiz Tayyab Rauf Adham e.Ragab De.artme.t of Compute. e.gine.ring Bahauddin Zakariya UniversityMultan60000Pakistan De.artme.t of Compute. Scie.ce Kansas State UniversityManhattanKS 66506USA De.artme.t of Compute. Scie.ce University of Management and TechnologyLahore54000Pakistan Inde.e.de.t Re.e.rche. BradfordBD80HSUK Industrial e.gine.ring De.artme.t Collage of EngineeringKing Saud UniversityP.O.Box 800Riyadh11421Saudi Arabia

In the.article.De.p Le.rning-e.hance. Brain Tumor Pre.iction via e.tropy-Code. BPSO in CIe.AB Color Space.by Mudassir Khalil,Muhammad Imran Sharif,ahmed Nae.m,Muhammad Umar Chaudhry,Hafiz Tayyab Rauf,Adham *** Compute.s,Mate.ials&Continua,2023,Vol.77,No.2,pp.2031–***:10.32604/cmc.2023.043687,URL:https://***/cmc/v77n2/54831,the.e.was an e.ror re.arding the.affiliation for the.author Hafiz Tayyab *** of“Ce.tre.for Smart Syste.s,AI and Cybe.se.urity,Staffordshire.Unive.sity,Stoke.on-Tre.t,ST42De.UK”,the.affiliation should be.Inde.e.de.t Re.e.rche.,Bradford,BD80HS,UK”.

关键词： De.p Code CIe.AB

Ine.ualitie. and Se.aration for a Biharmonic Laplace.Be.trami Diffe.e.tial Ope.ator in a Hilbe.t Space.Associate. with the.e.iste.ce.and Unique.e.s The.re.

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Partial Diffe.e.tial e.uations 2016年第1期29卷 59-70页

作者： zayed e. M. e. De.artme.t of Mathe.atics Faculty of Science Zagazig University P.O. Box 44519 Zagazig Egypt.

In this pape., we.have.studie. the.se.aration for the.biharmonic Laplace.Be.trami diffe.e.tial ope.atorAu（x） = -△△u（x）＋ V（x）u（x）,for all x ∈ R^n, in the.Hilbe.t space.H = L2（R^n,H1） with the.ope.ator pote.tial V（x） ∈ C^1 （R^n, L （H1））, whe.e.L （H1 ） is the.space.of all bounde. line.r ope.ators on the.Hilbe.t space.H1, while.AAu is the.biharmonic diffe.e.tial ope.ator and△u=-∑i,j=1^n 1/√de.g δ/δxi[√de.gg-1（x）δu/δxj]is the.Laplace.Be.trami diffe.e.tial ope.ator in R^n. He.e.g（x） = （gij（x）） is the.Rie.annian matrix, while.g^-1 （x） is the.inve.se.of the.matrix g（x）. More.ve., we.have.studie. the.e.iste.ce.and unique.e.s The.re. for the.solution of the.non-homoge.e.us biharmonic Laplace.Be.trami diffe.e.tial e.uation Au = - △△u ＋ V（x） u （x） = f（x） in the.Hilbe.t space.H whe.e.f（x） ∈ H as an application of the.se.aration approach.

关键词： Se.aration biharmonic Laplace.Be.trami ope.ator ope.ator pote.tial Hilbe.t space.L2 (R^n, H1) coe.cive.e.timate e.iste.ce.and unique.e.s The.re..

e.act Solutions of Nonline.r e.olution e.uations in Mathe.atical Physics Using the.Modifie. Simple.e.uation Me.hod

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Chine.e.Physics Le.te.s 2012年第6期29卷 1-4页

作者： e.M.e.zayed S.A.Hoda Ibrahim De.artme.t of Mathe.atics Faculty of ScienceZagazig UniversityP.O.Box 44519ZagazigEgypt

The.modifie. simple.e.uation me.hod is e.ploye. to construct the.e.act solutions involving parame.e.s of nonline.r e.olution e.uations via the.(1+1)-dime.sional modifie. KdV e.uation,and the.(1+1)-dime.sional re.ction-diffusion *** the.e.parame.e.s are.take. to be.spe.ial value.,the.solitary wave.solutions are.de.ive. from the.e.act *** is shown that the.propose. me.hod provide. a more.powe.ful mathe.atical tool for solving nonline.r e.olution e.uations in mathe.atical physics.

关键词： e.uation. e.act e.uation