green s function transient case
Báo cáo hóa học: " Existence of positive solutions to periodic boundary value problems with sign-changing Green’s function" ppt
... and e(t) is a continuous function on [0, T] It is well known that the solutions of (3) can be expressed in the following forms T u(t) = G(t, s) e (s) ds, where G(t, s) is Green s function associated ... expressed sin ρ(t s) +sin ρ(T−t +s) , 2ρ(1−cos ρT) sin ρ (s t)+sin ρ(T s+ t) , 2ρ(1−cos ρT) G(t, s) = ≤ s ≤ t ≤ T, ≤ t ≤ s ≤ T By direct computation, we get ρT sin sin ρT ≤ G(t, s) ≤ = max G(t, s) , ... http://www.boundaryvalueproblems.com/content/2011/1/8 Page of Remark Theorem contains the partial results of [4-7] obtained in case of positive Green s function, vanishing Green s function and sign-changing Green s function, ...
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báo cáo hóa học:" Research Article Green’s Function for Discrete Second-Order Problems with Nonlocal Boundary Conditions ˇ Svetlana Roman and Arturas Stikonas ¯" pptx
... problems, conditions for positiveness of Green s functions, and solutions with various BCs, for example, NBCs The structure of the paper is as follows In Section 2, we review the properties of functional ... with regard to the basis {u1 , u2 } Green s Functions 5.1 Definitions of Discrete Green s Functions We propose a definition of Green s function see 9, 12 In this section, we suppose that Ã Ê and Xn ... determinants and linear functionals We construct a special basis of the solutions in Section and introduce some functions that are independent of this basis The expression of the solution to the second-order...
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Green’s Functions in Physics Version 1 pdf
... shall see (in chapter 3) that the Green s function corresponds to an impulsive force and is represented by a complete set of functions Consider N mass points of mass mi attached to a massless string, ... string with mass points attached to springs 1.1 pr:N1 pr:mi1 pr:tau1 fig1.1 pr:eom1 The String We consider a massless string with equidistant mass points attached In the case of a string, we shall ... conditions first two in chapter Jan p3.3 pr:sbc1 cases will ensure that the right-hand side of Green s second identity (introduced in chapter 2) vanishes This is necessary for a physical system 1.4 SPECIAL...
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Individual Rights and Liberties Under the U.S. Constitution The Case Law of the U.S. Supreme Court pot
... matter for case- by -case development, certain characteristics of such interests emerge from the Court s cases These characteristics fall into two general categories First, a State has a quasisovereign ... remedial powers in this suit would result in the availability to respondents of such services So far as the complaint sheds light, it is just as plausible that the hospitals to which respondents may ... the dispute, and thus be in a position to serve as the defendant s natural adversary But once an association has satisfied Hunt s first and second prongs assuring adversarial vigor in pursuing...
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Anything That’s Peaceful - The Case for the Free Market docx
... THAT 'S PEACEFUL HOW SOCIALISM HARMS THE INDIVIDUAL When the individual forsakes or has taken from him a sense of self-responsibility, he loses the very essence of his being HOW SOCIALISM HARMS THE ... point: Discussion of ideological questions is more or less idle unless there be an awareness of what the major premise is At what is the writer aiming? Is he doing his reasoning with some purpose in ... Here, assuredly, was a setting worse than ours yet is When the law runs amuck, lawlessness often ensues THE AMERICAN SETTING: PAST AND PRESENT Something happened, unique in history; and it is well...
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Source investigation of a small event using empirical Green’s functions and simulated annealing ppt
... events and likeness of focal mechanisms the northern side leads us to consider the August 16 event as a possible empirical A seismic network was deployed in 1991 July and August, Green' s function ... several techniques exist to solve a linear problem under positivity constraints (Lawson & Nanson 1974) Since the empirical Green s function in this study has nearly the same duration as the source ... to use empirical Green' s ively (see Fig 3) Seismograms of both events recorded by the functions to model path effects on seismograms We defined three stations are shown in Fig The study is mainly...
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Research on factors affecting the student’s satisfaction: a case study at the Da Nang University of economics, in Vietnam.
... with Student satisfaction H4: Assurance has positive relationship with Student satisfaction H5: Empathy has positive relationship with Student satisfaction Measureming instrument This study use ... Hypothesis: H1: Tangibility has positive relationship with Student satisfaction H2: Reliability has positive relationship with Student satisfaction H3: Responsiveness has positive relationship ... to SPSS software qData analysis The data analysis for this study will be conducted through SPSS software CONCLUDING REMARKS Expected Results and Contributions q Theoretical significance Results...
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fulling. green's functions, heat kernels, kasimir effect
... ∞ es t−m +s + s= 0 ∞ fs t−m +s ln t, (22) s= m+1 s m odd where es and fs are related to css and dss in much the same way as bs is related to ass (One can concentrate on the spectral coefficients with ... undetermined by a s if s > m and s − m is odd; • d s = constant × a s if s > m and s − m is odd The constants are combinatorial structures (involving mostly gamma functions) whose detailed form is not important ... corresponding asymptotic approximation α α Rω µ(ω) = α c s ω m s + s= 0 d s ω m s ln ω + O(ω m−α−1 ln ω), s= m+1 s m odd (18) where • c s = constant × a s if s ≤ m or s − m is even; • c s is undetermined...
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báo cáo sinh học:" Oxford graduates’ perceptions of a global health master’s degree: a case study" pot
... keeping the class size small to ensure that all participated in class discussions He stated, ‘Another good thing is that the class is relatively small Above a critical mass it is hard for everyone ... outcomes This paper reports on this specific aspect of our work through the eyes of students themselves, and explores the implications of these findings for course organizers Evaluation We sought ... physicians were not only taking the MSc exams but also the U.K Faculty of Public Health s higher professional exams These findings suggest that the additional burden of the Faculty s assessment...
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Báo cáo hóa học: " Bilateral pyosalpinx in a peripubescent female with Hirschsprung’s disease: a case report" docx
... CT scan of the abdomen and pelvis with intravenous and oral contrast Abscess is shown discusses the possibility that the disease process could be a complication from the surgical repair This is ... et al In this case series the author suggest that bilateral hydrosalpinges is a associated abnormality of Hirschsprung s disease due to neurocristopathy The paper also Figure CT scan of the abdomen ... follow up she denies any recurrence of her symptoms Discussion The presentation of a 12 year old, who is not sexually active, with bilateral pyosalpinx and a history of Hirschsprung s disease is extremely...
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Báo cáo hóa học: " Inequalities for Green’s operator applied to the minimizers" doc
... theorems for A-harmonic tensors Illinois J Math 43, 613–631 (1999) Stein, EM: Singular integrals and differentiability properties of functions Princton University Press, Princton (1970) Ding, S: ... Integral estimates for the Laplace-Beltrami and Green s operators applied to differential forms on manifolds Zeitschrift fur Analysis und ihre Anwendungen (Journal of Analysis and its Applications) ... Mathematics, Texas A&M University-Kingsville, Kingsville, TX 78363, USA 2Department of Mathematics, Seattle University, Seattle, WA 98122, USA Received: 17 May 2011 Accepted: 21 September 2011 Published:...
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Báo cáo hóa học: " Singular integrals of the compositions of LaplaceBeltrami and Green’s operators" potx
... is the harmonic part of u [[7,8], for more properties of these operators] The differential forms can be used to describe various systems of PDEs and to express different geometric structures ... λ /s m |x − xB | ) dx⎠ σB ⎞1 /s ⎛ ⎛ −λ /s s ≤⎝ (|u||x − xB | σB ⎛ ≤⎝ ) dx⎠ ⎝ ⎞1 /s (|x − xB σB |u| |x − xB | dx⎠ C5 (σ rB ) −λ s σB ⎛ ≤ C6 ⎝ σB ⎞ s m ms ms |λ /s ) s m dx⎠ (2:8) λ /s+ n (s m)/ms ⎞1 /s ... n−αβ+λβ+ nβ (s m) m 1/ s 1/ s ⎞1 /s |u| |x − xB | dx⎠ −λ s σB ⎞1 /s |u| |x − xB | dx⎠ , −λ s σB thus is, ⎛ ⎝ Dδ ⎛ ⎞1 /s | G(u) |s dx⎠ ≤ C10 ⎝ d(x, ∂M)α σB ⎞1 /s |u |s dx⎠ |x − xB |λ (2:10) 1 /s s | G(u)|...
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báo cáo hóa học:" Research Article Solutions and Green’s Functions for Boundary Value Problems of Second-Order Four-Point Functional Difference Equations" ppt
... well-posedness of BVP 1.9 , since the function f depends on the term ut i.e., past values of u As usual, a sequence {u −τ , , u T } is said to be a positive solution of BVP 1.9 if it satisfies ... respectively Thus, 1,T 3.14 It follows from the definition of K that T Φy t G1 t, s r s f s, ys t∈ 1,T t∈ 1,T ≥m us s T r s f s, ys us s ≥ ≥ which implies that Φ K ⊂ K m T Ms max G1 t, s 1 s, t≤T ... 1 s, t≤T r s f s, ys T m max G1 t, s r s f s, ys M t∈ 1,T s m Φy , M us us 3.15 Boundary Value Problems 13 Lemma 3.4 Suppose that (H1 ) holds Then Φ : K → K is completely continuous We assume that...
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báo cáo hóa học:" Research Article Global Estimates for Singular Integrals of the Composition of the Maximal Operator and the Green’s Operator" doc
... write ,l s, Ω 1.7 uI dxJ , {1, 2, , n} − I, and d : D Ω, ∧l −1 I −1 u is given by d 1.6 Ω |u |s dx 1 /s 1.9 The differential forms can be used to describe various systems of PDEs and to express different ... Differential forms have become invaluable tools for many fields of sciences and engineering; see 1, for more details In this paper, we will focus on a class of differential forms satisfying the well-known ... u are Ls -integrable 0-form s Differential forms, the Green s operator, and maximal operators are widely used not only in analysis and partial differential equations, but also in physics; see 2–4,...
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Báo cáo toán học: " Alspach’s Problem: The Case of Hamilton Cycles and 5-Cycles" pps
... Maenhaut settle Alspach s problem in the case that the cycle lengths are the shortest and longest possible, that is, decomposing Kn or Kn − I into triangles and Hamilton cycles It turns that it is not ... Decompositions of Some Special Circulant Graphs In this section, we decompose some special circulant graphs into various combinations of 5-cycles and Hamilton cycles These decompositions will be used to prove ... edges of lengths [3, 3t + 2] constructed from such a sequence Note that the set [3t + 5, 5t + 4] consists of t consecutive odd integers and t consecutive even integers Thus, partition the set...
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Báo cáo y học: "Psychiatric disorder as clinical presentation of primary Sjögren’s syndrome: two case reports." pdf
... general, this consideration holds for all autoimmune diseases Psychiatric presentation of primary SS also suggests that mental disorders not occur only as a response to a psychological distress or a ... the present article, we report two cases of mental disorders as clinical presentations of primary SS, suggesting that psychiatrists should keep in mind that SS can be a potential cause of psychiatric ... neuropathological mechanisms of SS are unknown In CNS-SS, the most serious neuropsychiatric disorder appears to result from ischaemic damage caused by vasculitis [7], but the role of anti-Ro/SS-A alone or...
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Báo cáo khoa học: "Ectopic pancreatic-type malignancy presenting in a Meckel''''s diverticulum: a case report and review of the literature" docx
... gastrointestinal stromal tumours (GIST), benign leiomyomas and less commonly gastric or intestinal adenocarcinomas Tumours in Meckel 's present non-specifically with gastrointestinal complaints such as ... pancreatic tissue in a Meckel 's diverticulum The patient made good post-operative recovery He was discharged following multi-disciplinary discussion among surgeons, radiologists and oncologists, with ... A single omental deposit submitted separately was also involved by the tumour Histology of the tumour (Figure 3) showed that it was composed of scattered small glandular structures and also scattered...
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Báo cáo khoa học: "Surgical management of giant Brunner''''s gland hamartoma: case report and literature review" ppsx
... tumors, heterotopic pancreatic or gastric tissue, or gastrointestinal stromal tumors Pathologic review demonstrates the admixture of normal tissues including Brunner 's glands, ducts, adipose tissue, ... varies from homogenous enhancement with intravenous contrast administration to heterogenous lesions with solid and cystic components [9] EUS examination clearly demonstrates the submucosal origin ... lesion was composed of back to back mature Brunner 's glands Discussion Brunner 's glands are alkaline-secreting glands located in the submucosal layer of the duodenum The majority of Brunner's...
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Báo cáo khoa học: " Neoadjuvant radiotherapy of primary irresectable unicentric Castleman’s disease: a case report and review of the literature" pps
... up, using CT scanning every six months, since unicentric CD is a slowly progressive disease In case of a partial response to primary radiotherapy, we suggest that surgical resection is strongly ... was concluded that, in case of an irresectable presentation of unicentric CD, surgery after neoadjuvant radiotherapy was a possible strategy This case illustrates that this hypothesis was successful ... progressive disease, which does not metastasize In the case where a recurrence of residual disease is found, a resection in an early stage could still be performed In that case we propose a frequent...
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