nonlinear first order differential equations examples

... text (HTML) versions will be made available soon. Minimal and maximal solutions to first- order differential equations with state-dependent deviated arguments Boundary Value Problems 2012, 2012:7 ... HO, Wu, J: Functional differential equations with state-dependent delays: theory and applications. Hand- b ook of Differential Equations: Ordinary Differential Equations, vol. III. Elsevier/North-Holland, ... solutions), unfortunately often identified in the literature on lower and upper solutions. First- order differential equations with state-dependent deviated argu- ments have received a lot of attention...

Ngày tải lên: 20/06/2014, 20:20

... available soon. Periodic boundary value problems for nonlinear first- order impulsive dynamic equations on time scales Advances in Difference Equations 2012, 2012:12 doi:10.1186/1687-1847-2012-12 Da-Bin ... for first order periodic boundary value problem. Appl. Math. Comput. 158, 345–351 (2004) [39] Sun, JP, Li, WT: Positive solution for system of nonlinear first -order PBVPs on time scales. Nonlinear ... problems for first -order impulsive ordinary diffeer- ential equations. Nonlinear Anal. 51, 1223–1232 (2002) [11] Nieto, JJ, O’Regan, D: Variational approach to impulsive differential equations. Non- linear...

Ngày tải lên: 21/06/2014, 17:20

... 3.3 Advances in Difference Equations 9 14 J. Li and J. Shen, “Positive solutions for first order difference equations with impulses,” International Journal of Difference Equations, vol. 1, no. 2, ... Equations, vol. 2005, no. 12, pp. 1–22, 2005. 21 M. Benchohra, J. Henderson, S. K. Ntouyas, and A. Ouahab, “On first order impulsive dynamic equations on time scales,” Journal of Difference Equations ... pages doi:10.1155/2009/830247 Research Article Multiple Positive Solutions for Nonlinear First- Order Impulsive Dynamic Equations on Time Scales with Parameter Da-Bin Wang and Wen Guan Department...

Ngày tải lên: 21/06/2014, 20:20

... certain higher -order differential equations. Appl. Math. Comput. 134(2–3), 307–317 (2003) [17] Cakmak, D: Lyapunov-type integral inequalities for certain higher order differential equations. Appl. ... (HTML) versions will be made available soon. Lyapunov-type inequalities for a class of even -order differential equations Journal of Inequalities and Applications 2012, 2012:5 doi:10.1186/1029-242X-2012-5 Qi-Ming ... Comput. 216, 368–373 (2010) [18] He, X, Tang, XH: Lyapunov-type inequalities for even order differential equations. Commun. Pure Appl. Anal. 11(2), 465–473 (2012) [19] Almansi, E: Sopra una delle...

Ngày tải lên: 20/06/2014, 21:20

... Walter W: On some nonlinear ordinary differential equations with advanced arguments. Nonlinear Anal 2003, 53:495-505. 40. Yan JR: Oscillation of first- order impulsive differential equations with ... problem for non-linear differential equations of fractional order. Nonlinear Anal 2011, 74:792-804. 34. Zhang L, Wang G: Existence of solutions for nonlinear fractional differential equations with impulses ... problem for second order differential equations with an advanced argument. Nonlinear Anal 2006, 65:2013-2023. 42. Jankowski T: Positive solutions for fourth -order differential equations with deviating...

Ngày tải lên: 21/06/2014, 03:20

... delay dynamic equations of first order, ” Advances in Difference Equations, vol. 2008, Article ID 458687, 12 pages, 2008. 10 H. A. Agwo, “On the oscillation of first order delay dynamic equations with ... Corporation Advances in Difference Equations Volume 2010, Article ID 873459, 22 pages doi:10.1155/2010/873459 Research Article Nonoscillation of First- Order Dynamic Equations with Several Delays Elena ... is illustrated by examples which are neither delay-differential nor classical difference equations. 1. Introduction Oscillation of first -order delay-difference and differential equations has been...

Ngày tải lên: 21/06/2014, 11:20

... higher- order nonlinear fractional differential equations, ” Abstract and Applied Analysis, vol. 2009, Article ID 494720, 9 pages, 2009. 14 B. Ahmad and J. R. Graef, “Coupled systems of nonlinear ... Corporation Advances in Difference Equations Volume 2010, Article ID 691721, 10 pages doi:10.1155/2010/691721 Research Article Existence of Solutions for Nonlinear Fractional Integro -Differential Equations with ... Conclusions This paper studies the existence and uniqueness of solutions for nonlinear integro-differential equations of fractional order q ∈ 1, 2 with three-point nonlocal fractional boundary conditions...

Ngày tải lên: 21/06/2014, 16:20

... pages doi:10.1155/2009/905769 Research Article Limit Properties of Solutions of Singular Second -Order Differential Equations Irena Rach ˚ unkov ´ a, 1 Svatoslav Stan ek, 1 Ewa Weinm ă uller, 2 and Michael ... becoming finer. We finally observe experimentally the order of convergence of the numerical method collocation. Clearly, we do not expect very hight order to hold, since the analytical solution has ... in Theorems 4.1 and 4.2 constitute a useful tool when investigating the solvability of nonlinear singular equations subject to different types of boundary conditions. In this section, we utilize...

Ngày tải lên: 21/06/2014, 20:20

... Gatica, V. Oliker, and P. Waltman, “Singular nonlinear boundary value problems for second- order ordinary differential equations, ” Journal of Differential Equations, vol. 79, no. 1, pp. 62–78, 1989. 15 ... Emden-Fowler equations, ” Advances in Difference Equations, vol. 2008, Article ID 796851, 13 pages, 2008. 6 B. Ahmad and J. J . Nieto, “The monotone iterative technique for three-point second -order integrodifferential ... to second -order three-point problems on time scales,” Journal of Difference Equations and Applications, vol. 8, no. 8, pp. 673–688, 2002. 8 D. R. Anderson and I. Y. Karaca, “Higher -order three-point...

Ngày tải lên: 21/06/2014, 20:20

... pages doi:10.1155/2009/959636 Research Article Homoclinic Solutions of Singular Nonautonomous Second -Order Differential Equations Irena Rach ˚ unkov ´ aandJanTome ˇ cek Department of Mathematical Analysis and ... and second order differential equations with a singularity of the first kind,” Analysis, vol. 21, no. 4, pp. 373–389, 2001. 7 D. Bonheure, J. M. Gomes, and L. Sanchez, “Positive solutions of a second -order ... equation,” Nonlinear Analysis: Theory, Methods & Applications, vol. 61, no. 8, pp. 1383–1399, 2005. 8 M. Conti, L. Merizzi, and S. Terracini, “Radial solutions of superlinear equations on R N .I.Aglobal variational...

Ngày tải lên: 21/06/2014, 20:20

Ngày tải lên: 22/06/2014, 19:20

Ngày tải lên: 22/06/2014, 22:20

Ngày tải lên: 23/06/2014, 00:20

Ngày tải lên: 23/06/2014, 00:20

Ngày tải lên: 23/06/2014, 01:20

Ngày tải lên: 08/04/2015, 15:36

... following first- order nonlinear integro -differential system with periodic boundary value conditions.  x  = f (t, x,(Kx)(t )), t ∈ [0 , 1] ; x(0) = x(1); (1:1) and first- order integro -differential ... problem for 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 ... 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 nonlinear integro-differential...

Ngày tải lên: 21/06/2014, 02:20

... Article ID 507671, 25 pages doi:10.1155/2009/507671 Research Article First- Order Singular and Discontinuous Differential Equations Daniel C. Biles 1 and Rodrigo L ´ opez Pouso 2 1 Department ... Differential Equations, vol. 231, no. 2, pp. 633–655, 2006. 7 M. Cherpion, P. Habets, and R. L ´ opez Pouso, “Extremal solutions for first order singular problems with discontinuous nonlinearities,” ... of first -order singular differential equations, ” Bulletin of the London Mathematical Society, vol. 40, no. 1, pp. 143–150, 2008. 17 J. Chu and J. J. Nieto, “Recent results for second order singular...

Ngày tải lên: 21/06/2014, 20:20

... 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 certain third -order ... high -order nonlinear difference equation,” Nonlinear Dynamics and Systems Theory, vol. 6, no. 2, pp. 205–210, 2006. 33 E. M. E. Zayed and M. A. El-Moneam, “Some oscillation criteria for second order ... 2006. 35 S. R. Grace, B. S. Lalli, and C. C. Yeh, “Oscillation theorems for nonlinear second order differential equations with a nonlinear damping term,” SIAM Journal on Mathematical Analysis, vol. 15,...

Ngày tải lên: 22/06/2014, 02:20

Ngày tải lên: 22/06/2014, 03:20