applications of differential equations of first order and first degree
Revised version for the consideration of Contact Committee of the Heads of the SAIs of the European Union docx
... two-stage process and goes on to say: “At the first level the SAI must, as a matter of policy, define and decide upon the appropriate standards and level of quality for its outputs and then establish ... Officers of the SAIs of Hungary (Janos Revesz), Malta (Brian Vella) and Poland (Jacek Mazur), with additional and special assistance from the Cour des comptes of France (Anne-Marie Boutin and ... population. Choice of relevant performance indicators. Assessment of inherent and control risks. Establishment of materiality criteria and thresholds. Establishment of degree of confidence...
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Báo cáo hóa học: " Some new nonlinear integral inequalities and their applications in the qualitative analysis of differential equations" potx
... ∞, and the solutions of (46) are global.Zheng and Feng Journal of Inequalities and Applications 2011, 2011:20http://www.journalofinequalitiesandapplications.com/content/2011/1/20Page 13 of ... y)).Moreover,Zheng and Feng Journal of Inequalities and Applications 2011, 2011:20http://www.journalofinequalitiesandapplications.com/content/2011/1/20Page 9 of 15 and u(x, y) ≤ φ−1{J−1[Y−1(Y(H( ... t)ds]}}1p−q,(2)Zheng and Feng Journal of Inequalities and Applications 2011, 2011:20http://www.journalofinequalitiesandapplications.com/content/2011/1/20Page 3 of 15 uniqueness of solutions cannot...
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báo cáo hóa học: " Some new results for BVPs of first-order nonlinear integro-differential equations of volterra type" doc
... existence of solutions for first- order nonlinear integro -differential equations with boundary value conditions.Our methods to prove the existence of solutions involve new differential inequalities and ... ||x||C<R.Xing and Fu Advances in Difference Equations 2011, 2011:14http://www.advancesindifferenceequations.com/content/2011/1/14Page 14 of 17 RESEARCH Open AccessSome new results for BVPs of first- order ... book [2] and references thereinfor details. For the recent developments involving existence of solutions to BVPs forintegro -differential equations and impulsive integro -differential equations...
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Báo cáo hóa học: " Research Article On Complex Oscillation Property of Solutions for Higher-Order Periodic Differential Equations Zong-Xuan Chen and Shi-An Gao" pdf
... prove that f1 and f2are linearly dependent.We remark that the a bove proof remains valid if we interchange the roles of Gj and gjas at the end of the proof of Lemma 2.6.TheproofofTheorem 1.3 ... E2⊂ [0, ∞) is a set of finite linear measure, M(> 0) is a constant. SinceG0(t)isoffiniteorder,by(2.17), we see that h(ξ)isoffiniteorder. 12 Journal of Inequalities and Applications is at least ... completes the proof of Theorem 1.6.6. Proofs of corollariesProof of Corollary 1.4. By Remark 2.7, we see that the hypotheses of Theorem 1.3 are sat-isfied. This completes the proof.To p r ove...
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Báo cáo hóa học: " Research Article Nonlocal Boundary Value Problem for Impulsive Differential Equations of Fractional Order" ppt
... M. Srivastava, and J. J. Trujillo, Theory and Applications of Fractional Differential Equations, vol. 204 of North-Holland Mathematics Studies, Elsevier, Amsterdam, The Netherlands, 2006.2 ... Impulsive Differential Equations of Fractional Order Liu Yang1, 2 and Haibo Chen11Department of Mathematics, Central South University, Changsha, Hunan 410075, China2Department of Mathematics and ... fixedpoint theorems.On the other hand, impulsive differential equations of fractional order play animportant role in theory and applications, see the references 15–21 and referencestherein. However,...
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Báo cáo hóa học: " Research Article New Results on the Nonoscillation of Solutions of Some Nonlinear Differential Equations of Third Order" docx
... behaviour of solutions of second- and third -order nonlineardifferential equations in recent years. See, for instance, 1–37 as some related papers or Journal of Inequalities and Applications 7Proof. ... nonpositive. Journal of Inequalities and Applications 1125 C. Tuncá, Non-oscillation criteria for a class of nonlinear differential equations of third order, ” Bulletin of the Greek Mathematical ... boundedness of the solutions of third -order nonlinear differential equations, ” Kuwait Journal of Science & Engineering, vol. 32, no. 1, pp. 3948, 2005.28 E. Tuncá, On the convergence of solutions of...
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Báo cáo toán học: " Further results of the estimate of growth of entire solutions of some classes of algebraic differential equations" docx
... order of entire solutions of some algebraic differential equations and improve the related results of Bergweiler, Barsegian, and others.We also estimate the growth order of entire solutions of ... 17[11] Gu, RM, Ding, JJ, Yuan, WJ: On the estimate of growth order of solutions of aclass of systems of algebraic differential equations with higher orders. J. ZhanjiangNormal Univ. (in Chinese) ... made available soon.Further results of the estimate of growth of entire solutions of some classes of algebraic differential equations Advances in Difference Equations 2012, 2012:6 doi:10.1186/1687-1847-2012-6Oi...
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Báo cáo hóa học: " Polynomial solutions of differential equations" ppt
... importance in applications and leaving in this article the higher -order case because of its technical complexity–thecanonical forms of second -order equations, their eigenvalues, and multiplicities ... Equations 2011, 2011:58http://www.advancesindifferenceequations.com/content/2011/1/58Page 3 of 12 RESEARCH Open AccessPolynomial solutions of differential equations H Azad*, A Laradji and ... Any differential operator of theformL(y)=k=Nk=0ak(x)y(k), where akis a polynomial of degree ≤ k, over an infinite fieldF has all eigenvalues in F in the space of polynomials of degree...
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Báo cáo hóa học: " Positive solutions for a coupled system of nonlinear differential equations of mixed fractional orders" pot
... Trujillo JJ: Differential equations of fractional order: methods, results and problem. I Appl Anal 2001,78:153-192.6. Kilbas AA, Trujillo JJ: Differential equations of fractional order: methods, ... existence and uniqueness of solutions for initial value problem of nonlinearfractional differential equations. 2010 Sixth IEEE/ASME International Conference on Mechatronic and Embedded Systems and Applications, ... IntroductionFractional differential equations have been of great interest recently. It is caused by theboth intensive development of the theory of fractional calculu s its elf and applications, see...
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báo cáo hóa học:" Further results of the estimate of growth of entire solutions of some classes of algebraic differential equations" ppt
... solutions of some algebraic differential equations and improve the related results of Bergweiler, Barsegian, and others.We also estimate the growth order of entire solutions of a type system of a ... formattedPDF and full text (HTML) versions will be made available soon.Further results of the estimate of growth of entire solutions of some classes of algebraic differential equations Advances ... + b1w(z) + b0 and bk−1, . . . , b0are constants.In 2009, Gu et al. [11] investigated the growth order of solutions of a typesystems of algebraic differential equations of the form(w2)m1=...
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A FUNCTIONAL-ANALYTIC METHOD FOR THE STUDY OF DIFFERENCE EQUATIONS EUGENIA N. PETROPOULOU AND potx
... difference equations of three and four variables.The aim of this paper is to present the generalization of this functional-analyticmethod for the study of linear and nonlinear partial difference equations ... boundary valueproblems of partial differential equations, problems of quantum mechanics, and prob-lems of population dynamics and epidemiology (for more details, see [11] and the refer-ences therein). ... wealth of operator theory, in order to assure the existence of a unique solution of the operator equation in H or H1. In the case of linear equations, we use the followingclassical result of operator...
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Báo cáo hóa học: " Nonlinear Transformation of Differential Equations into Phase Space" ppt
... left- and right-hand sides of (15)to obtainCP(D)x,P(D)x(t, ω) = Cf(t, ω), (29) and we use (24 )and( 26) to simplify toP∗Ac)Cx,P(D)x(t, ω) = Cf(t, ω). (30)Similarly, we apply (25 )and( 27)toobtain(17).3.2. ... CorporationNonlinear Transformation of Differential Equations into Phase SpaceLeon CohenDepartment of Physics and Astronomy, Hunter College, City University of New York, 695 Park Avenue, New ... 1996.[30]W.Au,A.Popper,andR.Fay,Eds., Hearing by Whales and Dolphins, vol. 12 of Springer Handbook of Auditory Research,Springer, New York, NY, USA, 2000.[31] P. Tyack, W. Williams, and G. Cunningham,...
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Báo cáo toán học: "TIGHT UPPER BOUNDS FOR THE DOMINATION NUMBERS OF GRAPHS WITH GIVEN ORDER AND MINIMUM DEGREE" pdf
... =7,|E|≥10, and ∆ ≤ 3 satisfiesγ(G) ≤ 2.Proof. The graph G =(V,E) must have six vertices of degree 3 and a single vertex of degree 2. Let v be a vertex of degree 3 which is adjacent to a vertex of degree 2. ... 2, 3 and 4. TIGHT UPPER BOUNDS FOR THE DOMINATION NUMBERS OF GRAPHS WITH GIVEN ORDER AND MINIMUM DEGREE W. Edwin ClarkUniversity of South FloridaTampa, FL 33620-5700eclark@math.usf.edu and Larry ... This completes theproof in case (1b) and hence the proof of case (1).Assume that case (2) holds. Note that if G is not regular then it contains avertex of degree at least 5 and by Proposition...
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Báo cáo toán học: "Tight Upper Bounds for the Domination Numbers of Graphs with Given Order and Minimum Degree, II." pdf
... entry in the table of values of γ(n, δ)in[2]Acknowledgement We wish to thank Gordon Royle for providing Cayley tables forthe 14 groups of order 16 and Cayley graphs of groups of orders up to 31.References[1] ... graph of order n withdomination number at least 3 and minimum degree δ satisfyingn −2√n −4 ≤ δ ≤ n −√2√n. Tight Upper Bounds for the Domination Numbers of Graphs with Given Order and Minimum ... and minimum degree δ is an(n, δ)-graph and we defineγ(n, δ)=max{γ(Γ) | Γisan(n, δ)-graph}where γ(Γ) denotes the domination number of Γ.We are interested in the behavior of the right side of...
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