Equivalent differential equations of order one

... Lyapunov-type inequalities for a class of even-order differential equations Qi-Ming Zhang∗1 and Xiaofei He2 College of Science, Hunan University of Technology, Zhuzhou, Hunan 412000, P.R China ... Lyapunov-type inequalities for certain higher order differential equations J Math Anal Appl 195, 527–536 (1995) [9] Tang, XH, Zhang, M: Lyapunov inequalities and stability f...

Ngày tải lên: 20/06/2014, 21:20

... On the oscillation of 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 ... tends to zero as t ® ∞ Proof The proof of the corollary is similar to the proof of Corollary 3.3 and so it is omitted From the above results on the oscillation of odd-ord...

Ngày tải lên: 20/06/2014, 22:20

... Cambridge, New York, Melbourne (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 ... integro-differential equations of Volterra type on time scales Nonlinear Anal 68, 127–138 (2008) doi:10.1016/j.na.2006.10.036 Xu, H, Nieto, JJ: Extremal solut...

Ngày tải lên: 21/06/2014, 02:20

... 42:1353-1363 Yang Ch, Zhai Ch, Yan J: Positive solutions of the three-point boundary value problem for second order differential equations with an advanced argument Nonlinear Anal 2006, 65:2013-2023 Jankowski ... article as: Wang et al.: Positive solutions of the three-point boundary value problem for fractional-order differential equations...

Ngày tải lên: 21/06/2014, 03:20

... solution for a singular coupled system of nonlinear fractional differential equations Appl Math Comput 2004, 150:611-621 25 Su X: Boundary value problem for a coupled system of nonlinear fractional differential ... fractional differential equations in two dimensions with delay Abstr Appl Anal 2010, 2010:1-16 31 Kilbas AA, Srivastava HH, Trujillo JJ: The...

Ngày tải lên: 21/06/2014, 03:20

... solutions for boundary- value problems of nonlinear fractional differential equations, ” Electronic Journal of Differential Equations, no 36, p 12, 2006 10 Z Bai, “On positive solutions of a nonlocal fractional ... of our knowledge, this is the first time in the literatures that a nonlocal boundary value problem of impulsive differential equations of fraction...

Ngày tải lên: 21/06/2014, 07:20

... new inequalities, we obtain sufficient conditions for the existence of periodic solutions for 1.3 The Lyapunov stability of periodic solutions for the equation will then be established Finally, ... results of Theorems 3.1 and 3.2 still hold Next, we study the Lyapunov stability of the periodic solutions of 3.32 Theorem 3.5 Assume that H4 holds Then every...

Ngày tải lên: 21/06/2014, 16:20

... theory of integral equations and their relation with boundaryvalue problems, we refer to the book of Corduneanu 22 and Agarwal and O’Regan 23 On the other hand, boundary- value problems with integral ... paper, we consider the existence of positive solutions for a class of boundary value problems with integral boundary conditions of fourth-order imp...

Ngày tải lên: 21/06/2014, 16:20

... Difference Equations 12 R Yuan, On the spectrum of almost periodic solution of second-order differential equations with piecewise constant argument,” Nonlinear Analysis: Theory, Methods & Applications, ... to: On the spectrum of almost periodic solution of second order scalar functional differential equations with piecewise constant argument”,” J...

Ngày tải lên: 21/06/2014, 20:20

... solvability of nonlinear singular equations subject to different types of boundary conditions In this section, we utilize Theorem 4.1 to show the existence of solutions for periodic problems The rest of ... MSM6198959214 and by the Grant no A100190703 of the Grant Agency of the Academy of Sciences of the Czech Republic References J W Lee and D O’Regan, “Existence of solu...

Ngày tải lên: 21/06/2014, 20:20

... existence of a homoclinic solution for f having a linear behaviour near −∞ The proof is based on a full description of the set of all solutions of problem 1.1 , 1.10 for B < and on the existence of ... of solutions of 1.1 , 1.10 for B ∈ L0 , consists of escape solutions and of oscillatory solutions having values in L0 , L and of at least one homoclinic solution...

Ngày tải lên: 21/06/2014, 20:20

... A Lomtatidze, and B Puˇ a, On periodic solutions of first order nonlinear functional dif˚z ferential equations of non-Volterra’s type,” Memoirs on Differential Equations and Mathematical Physics, ... the existence of at least one ω -periodic solution of 1.3 It remains to prove that 1.3 has no more than one ω -periodic solution Let u1 and u2 be arbitrary ω -periodic solution...

Ngày tải lên: 21/06/2014, 22:20

... done for 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 ... non-oscillation of solutions of some nonlinear differential equations of third order,” ¸ Nonlinear Dynamics and Systems Theory, vol 7, no 4, pp 419–430, 2007 2...

Ngày tải lên: 22/06/2014, 02:20

... Valiron, Lectures on the General Theory of Integral Functions, Chelsea, New York, NY, USA, 1949 [8] Y.-M Chiang and S.-A Gao, On a problem in complex oscillation theory of periodic second order ... result on the complex oscillation theory of periodic second order linear differential equations, ” Proceedings of the Edinburgh Mathematical Society, vol 33, no 1, pp 143...

Ngày tải lên: 22/06/2014, 18:20

... by a K-linear differential automorphism of the field of fractions of K[S, T, d11 ]/( f1 ) The group of the differential automorphism induce a group of permutations of the solutions of f1 (ii) ... irreducible order one equation f (y , y, z) = over a finite field extension K of C(z) induces a pair (X, D) of a curve X over K and a derivation D of the function field o...

Ngày tải lên: 26/10/2015, 14:01