applications of differential equations of first order and first degree

... 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...

Ngày tải lên: 06/03/2014, 23:20

... ∞, and the solutions of (46) are global. Zheng and Feng Journal of Inequalities and Applications 2011, 2011:20 http://www.journalofinequalitiesandapplications.com/content/2011/1/20 Page 13 of ... y)). Moreover, Zheng and Feng Journal of Inequalities and Applications 2011, 2011:20 http://www.journalofinequalitiesandapplications.com/content/2011/1/20 Page 9 of 15 and u (x, y) ≤ φ −1 {J −1 [Y −1 (Y(  H( ... t)ds]}} 1 p−q , (2) Zheng and Feng Journal of Inequalities and Applications 2011, 2011:20 http://www.journalofinequalitiesandapplications.com/content/2011/1/20 Page 3 of 15 uniqueness of solutions cannot...

Ngày tải lên: 21/06/2014, 01:20

... 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, 2011:14 http://www.advancesindifferenceequations.com/content/2011/1/14 Page 14 of 17 RESEARCH Open Access Some new results for BVPs of first- order ... book [2] and references therein for details. For the recent developments involving existence of solutions to BVPs for integro -differential equations and impulsive integro -differential equations...

Ngày tải lên: 21/06/2014, 02:20

... prove that f 1 and f 2 are linearly dependent. We remark that the a bove proof remains valid if we interchange the roles of G j and g j as at the end of the proof of Lemma 2.6.TheproofofTheorem 1.3 ... E 2 ⊂ [0, ∞) is a set of finite linear measure, M(> 0) is a constant. Since G 0 (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 corollaries Proof 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...

Ngày tải lên: 22/06/2014, 18:20

... 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 Yang 1, 2 and Haibo Chen 1 1 Department of Mathematics, Central South University, Changsha, Hunan 410075, China 2 Department of Mathematics and ... fixed point theorems. On the other hand, impulsive differential equations of fractional order play an important role in theory and applications, see the references 15–21 and references therein. However,...

Ngày tải lên: 21/06/2014, 07:20

... behaviour of solutions of second- and third -order nonlinear differential equations in recent years. See, for instance, 1–37 as some related papers or Journal of Inequalities and Applications 7 Proof. ... nonpositive. Journal of Inequalities and Applications 11 25 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...

Ngày tải lên: 22/06/2014, 02:20

Ngày tải lên: 06/07/2014, 15:18

... 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 a class of systems of algebraic differential equations with higher orders. J. Zhanjiang Normal 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:10.1186/1687-1847-2012-6 Oi...

Ngày tải lên: 20/06/2014, 20:20

... importance in applications and leaving in this article the higher -order case because of its technical complexity–the canonical forms of second -order equations, their eigenvalues, and multiplicities ... Equations 2011, 2011:58 http://www.advancesindifferenceequations.com/content/2011/1/58 Page 3 of 12 RESEARCH Open Access Polynomial solutions of differential equations H Azad * , A Laradji and ... Any differential operator of the form L(y)= k=N  k=0 a k (x)y (k) , where a k is a polynomial of degree ≤ k, over an infinite field F has all eigenvalues in F in the space of polynomials of degree...

Ngày tải lên: 20/06/2014, 22:20

... 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 nonlinear fractional differential equations. 2010 Sixth IEEE/ASME International Conference on Mechatronic and Embedded Systems and Applications, ... Introduction Fractional differential equations have been of great interest recently. It is caused by the both intensive development of the theory of fractional calculu s its elf and applications, see...

Ngày tải lên: 21/06/2014, 03:20

... 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 ... formatted PDF 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 ... + b 1 w(z) + b 0 and b k−1 , . . . , b 0 are constants. In 2009, Gu et al. [11] investigated the growth order of solutions of a type systems of algebraic differential equations of the form        (w  2 ) m 1 =...

Ngày tải lên: 21/06/2014, 17:20

... difference equations of three and four variables. The aim of this paper is to present the generalization of this functional-analytic method for the study of linear and nonlinear partial difference equations ... boundary value problems 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 H 1 . In the case of linear equations, we use the following classical result of operator...

Ngày tải lên: 23/06/2014, 00:20

... left- and right-hand sides of (15) to obtain C P(D)x,P(D)x (t, ω) = C f (t, ω), (29) and we use (24 )and( 26) to simplify to P ∗  A c )C x,P(D)x (t, ω) = C f (t, ω). (30) Similarly, we apply (25 )and( 27)toobtain(17). 3.2. ... Corporation Nonlinear Transformation of Differential Equations into Phase Space Leon Cohen Department 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,...

Ngày tải lên: 23/06/2014, 01:20

... =7,|E|≥10, and ∆ ≤ 3 satisfies γ(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 Clark University of South Florida Tampa, FL 33620-5700 eclark@math.usf.edu and Larry ... This completes the proof 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 a vertex of degree at least 5 and by Proposition...

Ngày tải lên: 07/08/2014, 06:20

... entry in the table of values of γ(n, δ)in[2] Acknowledgement We wish to thank Gordon Royle for providing Cayley tables for the 14 groups of order 16 and Cayley graphs of groups of orders up to 31. References [1] ... graph of order n with domination number at least 3 and minimum degree δ satisfying n −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 define γ(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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