solving ordinary differential equation of first order and higher degree

Ngày tải lên: 07/08/2014, 06:22

... in the theory 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 ... 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 ... c]. Proof The existence and uniqueness of the solution to (30) follows from classical the- orems on Carathéodory solutions of ordinary differential equations. We conclude from Kamont Journal of Inequalities...

Ngày tải lên: 21/06/2014, 02:20

... nonlinear first order ordinary differential equations. Math Inequal Appl. 6, 477–485 (2003) 23. Luo, ZG, Shen, JH, Nieto, JJ: Antiperiodic boundary value problem for first -order impulsive ordinary differential equations. ... 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...

Ngày tải lên: 21/06/2014, 02:20

... solutions of this problem, it is not asymptotically stable from above. Note that α ≡− 1and ≡ 2 is a pair of lower and upper solutions that are no solutions of this problem and conditions (H )and( Hf)holdin[α,β]forN ... and P. Habets, Upper and lower solutions in the theory of ODE boundary value problems: classical and recent results, Non-Linear Analysis and Boundary Value Problems for Ordinary Differential Equations ... establishes that the set of solutions in [α,β]ofproblem(P N ) (and their N-periodic extensions of problem (P)) is totally ordered and bounded. From the conti- nuity of function f , we know that...

Ngày tải lên: 23/06/2014, 00:20

Ngày tải lên: 08/08/2014, 14:22

... differentiation, and so on. Isoforms of numerous proteins have been studied and compared in this man- ner, including alternative isoforms of members of the p53 ⁄ p63 ⁄ p73 [23] and the Bcl2 families ... versions of these two isoforms, as well as of the Mxi1-WR isoform that lacks the SID, and shown to give rise to proteins of the expected size expressed at similar levels (Fig. 1A). Each of these ... spectrum of differentially interacting proteins, as well as the spectrum of downstream target genes regu- lated by Mxi1-SRa and or Mxi1-SRb, and to assess the transcriptional effects of these isoforms...

Ngày tải lên: 18/02/2014, 16:20

... expected. Analysis by ELISA of the interactions of EDIAs and Herceptin with soluble ErbB2-ECD ELISA sandwich assays were performed to determine the ability of Erbicin and EDIAs to recognize soluble ErbB2-ECD. ... Fig. 4). The data, plotted as a function of the molar ratio, indicate a binding stoichiometry of 1 : 1 for ERB-hRNase and Erbicin and of 0.5 : 1 for ERB-hcAb and Herceptin, i.e. each identical antigen binding ... of each binding cycle. To measure the binding properties of Erbicin and ERB- hRNase to the extracellular domain of ErbB2, ECD was immobilized onto the surface of sensor chip CM5 using the standard...

Ngày tải lên: 23/03/2014, 06:20

... immobilized FXII, and immunoprecipitates of plasma FN revealed the pres- ence of FXII. This indicates a role of FN in the activa- tion and function of FXII. The general concept of the function of FXII ... sites of importance for fibril generation and elongation [28–30]. The high-affinity binding of FXIIa to the ECM with a K D of 12.8 nm [5] and the binding of FXIIa to the immobilized FN with a K D of ... interaction of FN with fibrinogen and fibrin [27]. Hence, fibrinogen and fibrin inhibited the binding of FXIIa. The binding of fibrino- gen and fibrin has been mapped to type I modules of FN present...

Ngày tải lên: 30/03/2014, 02:20

... Classification of First- Order Recurrent Neural Networks 143 class of rational-weighted first -order recurrent neural networks made up of Mc- Culloch and Pitts cells, and provide a refined classification of the ... pre-well-ordering of width 2 and height ω ω [19]. Propositions 1 and 2 ensure that the RNN hierarchy and Wagner hierarchy coincide up to Wadge equivalence.  height ω ω degree 1 degree 2 degree 3 degree ω degree ω ... Classification of First- Order Recurrent Neural Networks J´er´emie Cabessa 1 and Alessandro E.P. Villa 1,2 1 GIN Inserm UMRS 836, University Joseph Fourier, FR-38041 Grenoble 2 Faculty of Business and Economics,...

Ngày tải lên: 28/04/2014, 10:06

... 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...

Ngày tải lên: 21/06/2014, 07:20

... Article Nonoscillation of First- Order Dynamic Equations with Several Delays Elena Braverman 1 and Basáak Karpuz 2 1 Department of Mathematics and Statistics, University of Calgary, 2500 University ... nonoscillation of solutions to 1.3 are obtained. Thus, solutions of two different equations and/ or two different solutions of the same equation are compared, which allows to deduce oscillation and nonoscillation ... Oscillations of first order delay dynamic equations,” Dynamic Systems and Applications, vol. 15, no. 3-4, pp. 645–655, 2006. 12 B. G. Zhang and C. J. Tian, “Nonexistence and existence of positive...

Ngày tải lên: 21/06/2014, 11:20

... conditions at 0 and ∞,andfx, t/t is nondecreasing on 0, ∞ for all x ∈ Ω. Critical point theory and minimax methods are used in 3 and 4. For Kta  bt and λ  0, the existence of a nontrivial ... problems of mathematical physics,” in Contemporary Developments in Continuum Mechanics and Partial Differential Equations, G. M. de la Penha and L. A. J. Medeiros, Eds., vol. 30 of North-Holland Mathematics ... Article On a Perturbed Dirichlet Problem for a Nonlocal Differential Equation of Kirchhoff Type Giovanni Anello Department of Mathematics, University of Messina, S. Agata, 98166 Messina, Italy Correspondence...

Ngày tải lên: 21/06/2014, 11:20

... 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. ... 131–137, 1997. 26 C. Tuncá and E. Tuncá, On the asymptotic behavior of solutions of certain second -order differential equations,” Journal of the Franklin Institute, Engineering and Applied Mathematics, ... 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

... Karpuz, 2 and ă O. ă Ocalan 2 1 Department of Economics and Finance, Missouri University of Science and Technology, Rolla, MO 65409-0020, USA 2 Department of Mathematics, Faculty of Science and Arts, ... oscillation of all solutions of first -order delay dynamic equations on arbitrary time scales, hence combining and extending results for corresponding differential and difference equations. Examples, some of ... Dierential Equations. 10 Y. Sáahiner and I. P. Stavroulakis, Oscillations of first order delay dynamic equations,” Dynamic Systems and Applications, vol. 15, no. 3-4, pp. 645–655, 2006. 11 M. Bohner and...

Ngày tải lên: 22/06/2014, 11:20

... l q , and a p ,b q > 0, T is defined by (1.1), and the formal inner product of Ta and b is de fined by (Ta,b): = ∞  n=1 ∞  m=1 k(m,n)a m b n = (a,Tb), (1.7) 8 Journal of Inequalities and ... o(1) (ε →0 + ; r = p,q), and expression (1.5)isvalid.Hencek(x, y) satisfies condition (ii) of Theorem 1.1 and suits using Theorem 1.3. Proof. For fixed x>0, ε ≥ 0, and r = p,q, the functions ... satisfies condition (i) of Theorem 1.1 and suits using Theorem 1.2. Lemma 2.1. Let p>1, 1/p+1/q = 1, let the symmetric kernel k(x, y) be homogeneous function of −1 -order, and for fixed x>0,...

Ngày tải lên: 22/06/2014, 18:20

... Poincar ´ e’s theorem and an improvement of Perron’s theorem. 1. Introduction and preliminaries We investigate the rate of convergence of solutions of some special types of the second- order rational difference equation x n+1 = α ... all solutions of (1.2)oscillate. (ii) If the condition C = B 2  1+ √ 2  (2.6) RATE OF CONVERGENCE OF SOLUTIONS OF RATIONAL DIFFERENCE EQUATION OF SECOND ORDER S. KALABU ˇ SI ´ C AND M. R. S. ... definitions of positive and negative semicycles of a solution of (1.5) relative to an equilibrium point ¯ x. A positive semicycle ofasolution{x n } of (1.5) consists of a “string” of terms {x l , x l+1 ,...

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