... Neumann-type differential inclusion problem involving the p(x)-Laplacian. Nonlinear Anal.70, 3755–3760 (2009). doi:10.1016/j.na.2008.07.0314. Dai, G: Infinitely many solutions for a differential inclusion ... definitions and preliminary resultsare collected inSecond 2. The main results and proofs are given in Section 3. Thethree examples are presented in Section 4 for illustrating our results. In ... Changsha,Hunan 410083, P. R. ChinaAbstract In this article, we investigate the existence of infinitely many periodic solutions forsome nonautonomous second- orderdifferential systems with p (t...
... 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 zerois O(zν+1), and the order of its denominator is O(zν), the integral along the left part ofcontour 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 ofzero and are infinitely differentiable in the norm of H. Also, onD (L0)define theoperatorL0:L0Y...
... 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,thesingular third -order three-point BVP 1.1 is considered under some conditions concerningthe first eigenvalues corresponding ... contraction mapping principleimplies thatAn0has a unique fixed point x∗ in CI,andsoA has a unique fixed pointx∗ in CI; by the definition ofA, A has a unique fixed point x∗ in CI,thatis,x∗is...
... Programming in Maple3 Solution of a 2x2 ODE System 3.1 Programming in MATLAB3.2 Programming in C3.3 Programming in C++ 3.4 Programming in Fortran3.5 Programming in Java 3.6 Programming in Maple4 ... Solution of a Linear PDE4.1 Programming in MATLAB4.2 Programming in C4.3 Programming in C++4.4 Programming in Fortran4.5 Programming in Java4.6 Programming in Maple 5 Solution of a Nonlinear PDE5.1 ... ODE Integrators 1.7 Stability of RK Methods2 Solution of a 1x1 ODE System2.1 Programming in MATLAB2.2 Programming in C2.3 Programming in C++ 2.4 Programming in Fortran2.5 Programming in...
... physicalactivities (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 stepswalked, ... in obese subjects, and probably this greaterenergetic demand makes the obese subject to leading aless active life reinforcing a vicious circle. Also this findingis in agreement with data in...
... function-ing inreallife use of the upper arm [2-4]. New upper armrobotic devices including exoskeletons are being pro-posed to examine new training strategies that focus onusing more functional ... assist in the training and recovery of functional taskssuch as drinking. They compare the classical minimumjerk model [46] for point-to-point movements with actualmovements to perform a drinking ... improving the modeling and control of robot-assistedtherapy systems to aide them in adapting patients' move-ments to natural and functional activities such as walking,drinking, and pinching....
... age-structuredpopulation model. Nonlinear Anal. Real World Appl. 8, 1096–1112(2007)[14] Geng, F Z.: Solving singular secondorder three-point boundary valueproblems 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 𝑊𝑚2[𝑎, 𝑏](II). Math. Numer. Sin. 30(4), 361–368 (2008) (in Chinese)[19]...
... second- order nonlinear difference equation Li Dongsheng1*, Zou Shuliang1and Liao Maoxin2* Correspondence: lds1010@sina.com1School of Economics andManagement, University of SouthChina, ... asymptotic stability1 Introduction and preliminariesMotivated by those work [1-17], especially [10], we consider in this paper the following second- order rational difference equation xn+1=1+xknxln−1+ ... a.Dongsheng et al. Advances in Difference Equations 2011, 2011:46http://www.advancesindifferenceequations.com/content/2011/1/46Page 2 of 9 Second, one investigates (b). From Equation (1.1), one hasxn+1−...
... of ChinaAbstractBy obtaining intervals of the parameter l, this article investigates the existence of apositive solution for a class of nonlinear boundary value problems of second- order differential ... p-Laplacianfourth -order differential equations w ith integral boundary conditions. By usingMawhin’ s continuat ion theorem, some sufficient conditions for the existence ofsolution for a class of second- order ... subject tothe 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...
... importantconcepts 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 optimizationsee 1–16.Tanino5 obtained some results concerning sensitivity analysis in vectoroptimization 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<Cy0.The sets of C-minimal point and weakly C-minimal point of M are denoted by MinCM andWMinCM,...
... and Y. Wu, “Positive solutions of two-point boundary value problems for systemsof nonlinear second- order singular and impulsive differential equations,” Nonlinear Analysis: Theory,Methods & ... O2.4. Multiplicity In this section, we study existence of the second positive solution for two point boundaryvalue problem 3.20 with λ, μ in certain region of O1appeared in Theorem 3.8. For ... the main theorem for two point boundaryvalue problem 3.20 as follows.Theorem 4.1. Assume D1 ∼ D6. Then there exists a continuous curve Γ0splitting R2\{0, 0}into two disjoint...
... Reports in Mathematics in Science and Engineering, Academic Press, Boston, Mass, USA, 1988.Boundary Value Problems 93. Main ResultsWritefβ lim supx → βmaxt∈Jft, xx,fβ lim infx ... Pang, “A class of three-point boundary-value problems for second- order impulsiveintegro-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...