higher order transition probabilities chapman kolmogorov equation

... delay differential equations of higher order for p(t) = ± Arch Math 40, 359–366 (2004) Tang, S, Li, T, Thandapani, E: Oscillation of higher- order half-linear neutral differential equations Demonstratio ... Advances in Difference Equations 2011, 2011:45 http://www.advancesindifferenceequations.com/content/2011/1/45 Page of 10 Regarding the oscillation of higher- order neutral differential equations, Agarwal ... third -order quasi-linear neutral functional differential equations Arch Math 47, 181–199 (2011) Yildiz, MK, Öcalan, Ö: Oscillation results of higher- order nonlinear neutral delay differential equations...

Ngày tải lên: 20/06/2014, 22:20

... Functional Differential Equations, Kluwer Academic Publishers, Dordrecht, The Netherlands, 2000 R P Agarwal, E Thandapani, and P J Y Wong, “Oscillations of higher- order neutral difference equations,” Applied ... difference equations with variable delay,” Journal of Systems Science and Mathematical Sciences, vol 22, no 1, pp 85–89, 2002 13 B G Zhang and B Yang, “Oscillation in higher- order nonlinear difference equations,” ... second -order advanced functional difference equations,” Computers & Mathematics with Applications, vol 36, no 6, pp 11–18, 1998 15 Y Zhou, “Existence of nonoscillatory solutions of higher- order...

Ngày tải lên: 21/06/2014, 11:20

... of higher- order neutral equations,” The Tohoku Mathematical Journal, vol 41, no 4, pp 575–588, 1989 [27] B Yang and B G Zhang, “Oscillation of a class of higher order neutral differential equations,” ... order neutral differential equations,” Annals of Differential Equations, vol 19, no 1, pp 65–70, 2003 [20] S H Saker, “Oscillation of higher order neutral delay differential equations with variable ... class of even -order neutral equations,” Applied Mathematics Letters, vol 16, no 7, pp 1011–1018, 2003 [24] P Wang and M Wang, “Oscillation of a class of higher order neutral differential equations,”...

Ngày tải lên: 22/06/2014, 18:20

... periodic solutions for first -order functional difference equations [8–12] Only a few article have been published on the same problem for higher- order functional difference equations Recently, using ... solutions of second order nonlinear functional difference equations Archivum Math 43, 67–74 (2007) [14] Wang, W, Chen, X: Positive periodic solutions for higher order functional difference equations Appl ... least one periodic solution of equation (1.2) By using fixed point theorem in a cone, Wang and Chen [14] discussed the following higher- order functional difference equation x(n + m + k) − ax(n +...

Ngày tải lên: 18/06/2014, 22:20

... Cite this article as: Tang and Liu: Positive periodic solution of higher- order functional difference equation Advances in Difference Equations 2011 2011:56 Submit your manuscript to a journal and ... condition is established for the existence of positive periodic solutions for higher- order functional difference equation Some preparation Let X be the set of all real ω periodic sequences, then ... doi:10.1016/j.amc.2003.12.097 Wang, W, Chen, X: Positive periodic solutions for higher order functional difference equation Appl Math Lett 23, 1468–1472 (2010) doi:10.1016/j.aml.2010.08.013 10...

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... order ¸ nonlinear dynamic equations,” Mathematical and Computer Modelling, vol 50, no 1-2, pp 273–286, 2009 17 T Sun, H Xi, and W Yu, “Asymptotic behaviors of higher order nonlinear dynamic equations ... second -order linear equations on a time scale,” Journal of Difference Equations and Applications, vol 8, no 11, pp 1061–1071, 2002 T S Hassan, “Oscillation criteria for half-linear dynamic equations ... dynamic equations of first order, ” Advances in Difference Equations, vol 2008, Article ID 458687, 12 pages, 2008 10 L Erbe, A Peterson, and S H Saker, “Oscillation criteria for second -order nonlinear...

Ngày tải lên: 21/06/2014, 05:20

... concentrated on lower -order neutral functional differential equations, while studies on higher- order neutral functional differential equations are rather infrequent, especially on higher- order p-Laplacian ... p-Laplacian neutral functional differential equations In this paper, we consider the following generalized higher- order neutral functional differential equation: ϕp x t − cx t − σ l n−l F t, x t ... differential equation, ” Journal of Mathematical Analysis and Applications, vol 326, no 2, pp 1161–1173, 2007 J Wu and Z Wang, “Two periodic solutions of second -order neutral functional differential equations,”...

Ngày tải lên: 21/06/2014, 16:20

... fractional order cases In Section 2, we will deduce some new properties of Green’s function Boundary Value Problems Motivated by the above mentioned work, we study the following higher- order singular ... investigated the existence and multiplicity of positive solutions for a class of higher- order nonlinear fractional differential equations with integral boundary conditions and obtained some easily verifiable ... results for fractional order cases, for example, see 12–15, 19 The methodology which we employed in studying the boundary value problems of integer -order differential equation Boundary Value...

Ngày tải lên: 21/06/2014, 16:20

... “Solutions to second -order three-point problems on time scales,” Journal of Difference Equations and Applications, vol 8, no 8, pp 673–688, 2002 D R Anderson and I Y Karaca, Higher- order three-point ... solutions The purpose of this paper is to investigate further the singular BVP for delay higherorder dynamic equation 1.1 By the use of the fixed point theorem of cone expansion and compression type, ... Emden-Fowler equations,” Advances in Difference Equations, vol 2008, Article ID 796851, 13 pages, 2008 B Ahmad and J J Nieto, “The monotone iterative technique for three-point second -order integrodifferential...

Ngày tải lên: 21/06/2014, 20:20

... Nonlinear Differential Equations, vol 56 of Lecture Notes in Mathematics, Springer, Berlin, Germany, 1977 L A Kipnis, “On periodic solution of higher order nonlinear differential equations,” Prikladnaya ... solutions of higher order systems,” Pacific Journal of Mathematics, vol 84, no 2, pp 275–282, 1979 G T Gegelia, “On boundary value problems of periodic type for ordinary odd order differential equations,” ... periodic solutions of higher- order nonautonomous ordinary differential equations,” Differentsial’nye Uravneniya, vol 35, no 1, pp 72–78, 142, 1999, English translation in Differential Equations, vol 35,...

Ngày tải lên: 21/06/2014, 22:20

... Difference Equations and Applications, vol 5, no 6, pp 497–515, 1999 L Berg and S Stevi´ , “Linear difference equations mod with applications to nonlinear difference c equations,” Journal of Difference Equations ... equation, ” Journal of Difference Equations and Applications, vol 9, no 9, pp 833–839, 2003 Advances in Difference Equations 15 M Aloqeily, “Global stability of a rational symmetric difference equation, ” ... of a rational difference equation, ” Applied Mathematics c Letters, vol 20, no 1, pp 28–31, 2007 21 S Stevi´ , “Nontrivial solutions of a higher- order rational difference equation, ” Matematicheskie...

Ngày tải lên: 22/06/2014, 11:20

... second order linear differential equations,” Proceedings of the Edinburgh Mathematical Society, vol 33, no 1, pp 143–158, 1990 [3] S B Bank and J K Langley, “Oscillation theorems for higher order ... order linear differential equations and some related perturbation results,” Annales Academiæ Scientiarium Fennicæ Mathematica, vol 27, no 2, pp 273–290, 2002 [9] E Ince, Ordinary Differential Equations, ... set of finite linear measure, M(> 0) is a constant Since G0 (t) is of finite order, by (2.17), we see that h(ξ) is of finite order Z.-X Chen and S.-A Gao If G j (t) and g j (t) ( j = 0, ,k − 2) are...

Ngày tải lên: 22/06/2014, 18:20

... difference sc c equation of second order, ” Advances in Difference Equations, vol 2004, no 2, pp 121–139, 2004 [2] M R S Kulenovi´ and G Ladas, Dynamics of Second Order Rational Difference Equations, ... = v identically for n ∈ Z+ 10 Advances in Difference Equations Application As an application, consider the second -order rational difference equation x(n + 2) = B C + , x(n + 1) x(n) n ∈ Z+ , (4.1) ... (4.1) This equation is a special case of (3.1) when f x1 ,x2 = C B + , x1 x2 x1 ,x2 ∈ Ω = (0, ∞) × (0, ∞) (4.2) √ Equation (4.1) has a unique positive equilibrium v = B + C The linearized equation...

Ngày tải lên: 22/06/2014, 19:20

... of difference equations with strong negative feedback, Journal of Difference Equations and Applications (1999), no 6, 497–515 [2] C Cinar, On the positive solutions of the difference equation xn+1 ... problems and conjectures, Journal of Difference Equations and Applications (1998), no 1, 497–499 [7] X Li, Global behavior for a fourth -order rational difference equation, Journal of Mathematical Analysis ... properties for a fourth -order rational difference equation, Journal of Mathe[8] matical Analysis and Applications 311 (2005), no 1, 103–111 [9] T Nesemann, Positive nonlinear difference equations: some...

Ngày tải lên: 22/06/2014, 22:20

... a higher order neutral difference equation, Journal of Difference Equations and Applications (2002), no 11, 937–955 [11] B G Zhang and B Yang, Oscillation in higher- order nonlinear difference equations, ... nonoscillatory solutions of higher order neutral delay differential equations, Annals of Differential Equations (1993), no 3, 270–286 [3] S S Cheng, Partial Difference Equations, Taylor & Francis, ... of second order nonlinear difference equations, Journal of Mathematical Analysis and Applications 175 (1993), no 2, 482–498 [6] B S Lalli, Oscillation theorems for neutral difference equations...

Ngày tải lên: 22/06/2014, 22:20

... 2 Oscillation of higher- order delay difference equations Main results We need the following several lemmas in order to prove our results Lemma 2.1 [5, 8] Assume ... means that inequality (2.15) has an eventually positive solution 4 Oscillation of higher- order delay difference equations On the other hand, condition (2.7) implies that m n→∞ ki +1 n+ki ki + ki ... solution l −1 x n ≥ N2 , n, (2.31) which implies that (2.31) has an Oscillation of higher- order delay difference equations On the other hand, condition (2.28) implies that m liminf n→∞ i=1 ki +...

Ngày tải lên: 22/06/2014, 22:20

... 3.1, with G Green’s function related ¯ with operator Tn [M] in Wn 300 Higher- order antiperiodic dynamic equations First -order equations In this section, using the previously obtained results, we ... the differential equation (L1 ) has a unique solution in [α,β] Difference equations Let h > 0, P ∈ {1,2, } and T = {0,h, ,hP } ⊂ R (4.13) 302 Higher- order antiperiodic dynamic equations Given u ... and uniqueness of solutions of the second -order nonlinear dynamic equation with antiperiodic boundary conditions 304 Higher- order antiperiodic dynamic equations ¯ (L ) −u∆ (t) = f t,u(t) , ∀t...

Ngày tải lên: 23/06/2014, 00:20

... of monotone difference equations of higher order, Comput Math Appl 42 (2001), no 3–5, 647–654 U Krause and M Pituk, Boundedness and stability for higher order difference equations, J Difference ... of the solutions of the above higher- order difference equations and inequalities are given in Section Monotonicity Recall the definition of the discrete exponential ordering from [7] For every µ ... difference equation k xn+1 = i=0 Ki xn−i + b max xn ,xn−1 , ,xn−r , (1.7) where k and r are positive integers and the coefficients Ki and b are constants For other examples of higher- order difference equations...

Ngày tải lên: 23/06/2014, 00:20

... differential equations of higher order, Georgian Mathematical Journal (2001), no 4, 791–814 [11] I T Kiguradze and B L Shekhter, Singular boundary value problems for second -order ordinary differential equations, ... 259–281, Functional differential equations and applications (Beer-Sheva, 2002) , On two-point boundary value problems for higher order singular ordinary differential [7] equations, Georgian Academy ... Kiguradze and G Tskhovrebadze, On two-point boundary value problems for systems of higherorder ordinary differential equations with singularities, Georgian Mathematical Journal (1994), no 1, 31–45...

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