second order differential equation in real life

Ngày tải lên: 13/08/2014, 16:20

... Neumann-type differential inclusion problem involving the p(x)-Laplacian. Nonlinear Anal. 70, 3755–3760 (2009). doi:10.1016/j.na.2008.07.031 4. Dai, G: Infinitely many solutions for a differential inclusion ... definitions and preliminary results are collected in Second 2. The main results and proofs are given in Section 3. The three examples are presented in Section 4 for illustrating our results. In ... Changsha, Hunan 410083, P. R. China Abstract In this article, we investigate the existence of infinitely many periodic solutions for some nonautonomous second- order differential systems with p (t...

Ngày tải lên: 20/06/2014, 22:20

... 1. Hence, beginning with some k ,Equation 2.6 has exactly one positive root corresponding to the imaginary root of Equation 2.5. Now, find the asymptotic of the imaginary roots of Equation 2.5. ... numerator in the vicinity of zero is O(z ν+1 ), and the order of its denominator is O(z ν ), the integral along the left part of contour vanishes. Now, consider the integrals along the remaining three ... vec tor functions with values in H (see [30], p. 57) that vanish in the vicinity of zero and are infinitely differentiable in the norm of H. Also, on D (L  0 ) define the operator L  0 : L  0 Y...

Ngày tải lên: 21/06/2014, 02:20

... Notes and Reports in Mathematics in Science and Engineering, Academic Press, Boston, Mass, USA, 1988. 16 D. Guo, V. Lakshmikantham, and X. Liu, Nonlinear Integral Equations in Abstract Spaces, ... by using cone expansion-compression fixed point theorem. In 3,the singular third -order three-point BVP 1.1 is considered under some conditions concerning the first eigenvalues corresponding ... contraction mapping principle implies that  A n 0 has a unique fixed point x ∗ in CI,andso  A has a unique fixed point x ∗ in CI; by the definition of  A, A has a unique fixed point x ∗ in CI,thatis,x ∗ is...

Ngày tải lên: 21/06/2014, 05:20

Ngày tải lên: 21/06/2014, 20:20

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: 22/06/2014, 22:20

Ngày tải lên: 10/08/2014, 05:21

Ngày tải lên: 13/08/2014, 08:20

... Programming in Maple 3 Solution of a 2x2 ODE System 3.1 Programming in MATLAB 3.2 Programming in C 3.3 Programming in C++ 3.4 Programming in Fortran 3.5 Programming in Java 3.6 Programming in Maple 4 ... Solution of a Linear PDE 4.1 Programming in MATLAB 4.2 Programming in C 4.3 Programming in C++ 4.4 Programming in Fortran 4.5 Programming in Java 4.6 Programming in Maple 5 Solution of a Nonlinear PDE 5.1 ... ODE Integrators 1.7 Stability of RK Methods 2 Solution of a 1x1 ODE System 2.1 Programming in MATLAB 2.2 Programming in C 2.3 Programming in C++ 2.4 Programming in Fortran 2.5 Programming in...

Ngày tải lên: 08/04/2014, 10:27

... physical activities (standing, sitting, walking, lying, reclining, step- ping, etc), walking speed, and energy expenditure pro- duced during activities (EE - measured in kcal/min or kJ/ min or Watts). The ... validity of gait data. In the present study, even a trend in reduced time spent in walking and standing was present as well as an increasing in time spent sitting and a reduction in number of steps walked, ... in obese subjects, and probably this greater energetic demand makes the obese subject to leading a less active life reinforcing a vicious circle. Also this finding is in agreement with data in...

Ngày tải lên: 19/06/2014, 08:20

... function- ing in real life use of the upper arm [2-4]. New upper arm robotic devices including exoskeletons are being pro- posed to examine new training strategies that focus on using more functional ... assist in the training and recovery of functional tasks such as drinking. They compare the classical minimum jerk model [46] for point-to-point movements with actual movements to perform a drinking ... improving the modeling and control of robot-assisted therapy systems to aide them in adapting patients' move- ments to natural and functional activities such as walking, drinking, and pinching....

Ngày tải lên: 19/06/2014, 10:20

... age-structured population model. Nonlinear Anal. Real World Appl. 8, 1096–1112 (2007) [14] Geng, F Z.: Solving singular second order three-point boundary value problems using reproducing kernel Hilbert space ... M G.: Solving singular nonlinear second- order peri- odic boundary value problems in the reproducing kernel space. Appl. Math. Comput. 192, 389–398 (2007) [16] Jiang, W., Cui, M G., Lin, Y Z.: ... Math. Numer. Sin. 30(3), 295–304 (2008) (in Chinese) [18] Zhang, X J., Lu, S R.: Computating reproducing kernels for 𝑊 𝑚 2 [𝑎, 𝑏] (II). Math. Numer. Sin. 30(4), 361–368 (2008) (in Chinese) [19]...

Ngày tải lên: 20/06/2014, 20:20

... second- order nonlinear difference equation Li Dongsheng 1* , Zou Shuliang 1 and Liao Maoxin 2 * Correspondence: lds1010@sina. com 1 School of Economics and Management, University of South China, ... asymptotic stability 1 Introduction and preliminaries Motivated by those work [1-17], especially [10], we consider in this paper the following second- order rational difference equation x n+1 = 1+x k n x l n−1 + ... a . Dongsheng et al. Advances in Difference Equations 2011, 2011:46 http://www.advancesindifferenceequations.com/content/2011/1/46 Page 2 of 9 Second, one investigates (b). From Equation (1.1), one has x n+1 −...

Ngày tải lên: 20/06/2014, 22:20

... of China Abstract By obtaining intervals of the parameter l, this article investigates the existence of a positive solution for a class of nonlinear boundary value problems of second- order differential ... p-Laplacian fourth -order differential equations w ith integral boundary conditions. By using Mawhin’ s continuat ion theorem, some sufficient conditions for the existence of solution for a class of second- order ... subject to the integral boundary condition. This study in this ar ticle is motivated by Feng and Ge [1], who applied a fixed point theorem [10] i n cone to the second- order differential equations.  x  (t...

Ngày tải lên: 21/06/2014, 00:20

... important concepts in this paper. In Section 3, we discuss some relationships between the second- order contingent derivative of a set-valued map and its profile map. In Section 4, by the second- order contingent ... stability in optimization see 1–16.Tanino5 obtained some results concerning sensitivity analysis in vector optimization by using the concept of contingent derivatives of set-valued maps introduced in ... weakly C-minimal point of M with respect to C if there exists no y ∈ M, such that y< C y 0 . The sets of C-minimal point and weakly C-minimal point of M are denoted by Min C M and WMin C M,...

Ngày tải lên: 21/06/2014, 05:20

... and Y. Wu, “Positive solutions of two-point boundary value problems for systems of nonlinear second- order singular and impulsive differential equations,” Nonlinear Analysis: Theory, Methods & ... O 2 . 4. Multiplicity In this section, we study existence of the second positive solution for two point boundary value problem 3.20 with λ, μ in certain region of O 1 appeared in Theorem 3.8. For ... the main theorem for two point boundary value problem 3.20 as follows. Theorem 4.1. Assume D 1  ∼ D 6 . Then there exists a continuous curve Γ 0 splitting R 2  \{0, 0} into two disjoint...

Ngày tải lên: 21/06/2014, 11:20

... Reports in Mathematics in Science and Engineering, Academic Press, Boston, Mass, USA, 1988. Boundary Value Problems 9 3. Main Results Write f β  lim sup x → β max t∈J f  t, x  x ,f β  lim inf x ... Pang, “A class of three-point boundary-value problems for second- order impulsive integro-differential equations in Banach spaces,” Nonlinear Analysis. Theory, Methods & Applications, vol. 70, ... nth order m-point boundary value problems in Banach spaces,” Applied Mathematics Letters, vol. 22, no. 8, pp. 1303–1308, 2009. 25 X. He and W. Ge, “Triple solutions for second- order three-point...

Ngày tải lên: 21/06/2014, 16:20