solutions of differential equations of first order and higher degrees

... 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 ... plan; ã Policies relating to handing over of tasks; ã Creation of inventory of staff knowledge and skills; ã Equal treatment and fair opportunity to all staff; and ã Employee Feedback Surveys....

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... 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 ... 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 ... differential equation of the form (4.2) whose coeffi- cients are analytic in a neighborhood of z =∞andhaveatmostapoleatz =∞. Proof of Lemma 4.1. Using a method similar to the proof of Lemma 2.6, combining...

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... of first- order partial differential equations, including questions such as estimates of solutions of initial problems, estimates of domains of solutions, estimates of the difference between solutions ... for functions of several variables by means of functions of one variable which are solutions of ordinary differential equations or inequalities. It is shown that there are solutions of initial problems ... differential functional equations and strongly coupled infinite systems of first order partial differential equations. Rocky Mt J Math. 10, 237–246 (1980) Kamont Journal of Inequalities and Applications...

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... 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 ... 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 ... (1978) doi:10.1186/1687-1847-2011-14 Cite this article as: Xing and Fu: Some new results for BVPs of first- order nonlinear integro -differential equations of volterra type. Advances in Difference Equations 2011 2011:14. Submit...

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... 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 ... 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. ... nonoscillation of all solutions of nonlinear functional differential equations. In this connection, Parhi 10 established some sufficient conditions for oscillation of all solutions of the second -order forced...

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... 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 ... which is an eigenfunction of L. Specializing to second -order equations because of their importance in applications– and leaving in this article the higher -order case because of its technical complexity–the canonical ... comments and Professor A. W. Knapp for his comments and suggestions on the first version of this article. They also thank the King Fahd University of Petroleum and Minerals for its support and excellent...

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... example, we will obtain the bound of the solutions of an integral equation. For the sake of proving the global existence of solutions of differential equations, we first recall some basic facts. ... ∞, 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 ... 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...

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... 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 coupled systems of higher -order nonlinear fractional differential equations. Fixed Point Theory Appl 2010, 2010:1-17. 30. Babakhani A: Positive solutions ... Recently, there are a large number of papers dealing with the existence of solutions of nonlinear fractional differential equations by the use of techniques of nonlinear analysis (fixed point...

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... 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 ... 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 ... chemistry, and engineering and biological sciences, involves derivatives of fractional order. Fractional differential equations also provide an excellent tool for the description of memory and hereditary...

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... in Difference Equations Volume 2010, Article ID 197263, 11 pages doi:10.1155/2010/197263 Research Article Existence and Uniqueness of Periodic Solutions for a Class of Nonlinear Equations with p-Laplacian-Like ... and uniqueness of periodic solutions of the above equation are given by using Mawhin’s continuation theorem. Our results are new and extend some recent results due to Liu B. Liu, Existence and ... uniqueness of periodic solutions for a kind of Lienard type p-Laplacian equation, Nonlinear Analysis TMA, 69, 724–729, 2008. 1. Introduction In this paper, we deal with the existence and uniqueness of...

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... in Ω, (1.3) where σ> 1and f ∈ L 1 (Ω). The assumed conditions and known results of the theory of monotone operators allow us to prove existence of generalized solutions of the Dir ichlet problem ... of weights and of the data of the problem is regular enough (see [2]). In our paper, following the approach of [3], we establish on such sets a result on H ă older continuity of generalized solutions ... no. 4, pp. 99–112, 2006. [3] A. Kovalevsky and F. Nicolosi, “Existence and regularity of solutions to a system of degenerate nonlinear fourth -order equations, ” Nonlinear Analysis. Theory, Methods...

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... 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 ... stability of nonlinear difference equations in the com- plex plane. II,Comput.Math.Appl.42 (2001), no. 3-5, 427–452. [11] , Bounded solutions of a class of linear delay and advanced partial difference equations, Dynam. ... E.N.PetropoulouandP.D.Siafarikas,Bounded solutions and asymptotic stability of nonlinear difference equations in the complex plane, Arch. Math. (Brno) 36 (2000), no. 2, 139–158. [10] , Bounded solutions and...

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... [17]), and γ n is the operator of taking of the normal component of a trace on the boundary of a function defined on Ω 0 .Theoperatorγ n 220 On weak solutions of the equations of motion Proof. Integration ... will obtain a priori estimates of solutions to this family. 226 On weak solutions of the equations of motion Proof. Using the change of the variable x = u(t, y )and( 5.5), we have   v t (t,x)   −1,t = ... functions q n and r n are products of smooth functions. By this they are expressed by means of ˜ v multiplied by the derivatives up to the second order of v n and the first order of  p n with...

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... 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 ... differential equations with constant coeffi- cients are the most venerable and studied differential equa- tions, and many ideas and methods have been de veloped to obtain exact, approximate, and numerical solutions, ...

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