second order differential equation in chemistry
Báo cáo hóa học: " Infinitely many periodic solutions for some second-order differential systems with p(t)Laplacian" potx
... 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 in Second 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- order differential systems with p (t...
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báo cáo hóa học: " Study of the asymptotic eigenvalue distribution and trace formula of a second order operatordifferential equation" ppt
... 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 ... distributionand trace formula of a second order operator- differential equation Nigar Mahar Aslanova1,2Correspondence: nigar.aslanova@yahoo.com1Department of Differential Equation, Institute of Mathematicsand...
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Báo cáo hóa học: "Research Article Iterative Solutions of Singular Boundary Value Problems of Third-Order Differential Equation" potx
... 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...
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ordinary and partial differential equation routines in matlab - h.j. lee & w.e. schiesser
... 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...
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Báo cáo toán học: " Solving singular second-order initial/boundary value problems in reproducing kernel Hilbert space" pptx
... 0.11797 0.11797 2.2E−6 1.9E−519 Solving singular second- order initial/boundary value problems in reproducing kernel Hilbert spaceEr Gao*, Songhe Song** and Xinjian Zhang***Department of Mathematics ... 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]...
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Báo cáo hóa học: " On a class of second-order nonlinear difference equation" potx
... 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−...
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Báo cáo hóa học: "Existence of positive solutions for nonlocal second-order boundary value problem with variable parameter in Banach spaces" doc
... 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...
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Báo cáo hóa học: " Research Article Second-Order Contingent Derivative of the Perturbation Map in Multiobjective Optimization" doc
... 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,...
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báo cáo hóa học:" Research Article Multiple Positive Solutions of a Singular Emden-Fowler Type Problem for Second-Order Impulsive Differential Systems" pdf
... 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...
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Báo cáo sinh học: " Research Article Positive Solutions of nth-Order Nonlinear Impulsive Differential Equation with Nonlocal Boundary Conditions" potx
... 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...
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Báo cáo sinh học: " Research Article New Existence Results for Higher-Order Nonlinear Fractional Differential Equation with Integral Boundary Conditions" pdf
... differential equations with integral boundary conditions. The resultsare established by converting the problem into an equivalent integral equation and applyingKrasnoselskii’s fixed-point theorem in cones. ... studied.1. IntroductionFractional differential equations arise in many engineering and scientific disciplines asthe mathematical modelling of systems and processes in the fields of physics, chemistry, aerodynamics, ... Beijing 100192, China2Department of Mathematics and Physics, North China E lectric Power University, Beijing 102206, China3Department of Mathematics, Beijing Institute of Technology, Beijing...
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Báo cáo sinh học: " Research Article Employing Second-Order Circular Suprasegmental Hidden Markov Models to Enhance Speaker Identification Performance in Shouted Talking Environments" potx
... first -order circular, and second- order circular mod-els were trained on top of acoustic: first -order left-to-right, second- order left-to-right, first -order circular and second- order circular models, ... enhancingspeaker identification performance in the shouted talkingenvironments. On the other hand, increasing the valueof α has a less effect on improving the performance in the neutral talking ... andSPHMM2s are combined and integrated into CSPHMM2s:(1) In SPHMM2s, the state sequence is a second- order suprasegmental chain where the stochastic process isspecified by a 3D matrix since the state-transitionprobability...
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báo cáo hóa học:" Research Article Oscillation of Solutions of a Linear Second-Order Discrete-Delayed Equation" docx
... therein. In this paper, sharp conditions are derived for all the solutions beingoscillating for a class of linear second- order delayed-discrete equations.We consider the delayed second- order linear ... solutions of discrete orcontinuous equations. Such analysis is related to an investigation of the case of all solutionsbeing oscillating for relevant investigation in both directions, we refer, ... Solutions of a Linear Second- Order Discrete-Delayed Equation J. Baˇstinec,1J. Dibl´ık,1, 2and Z.ˇSmarda11Department of Mathematics, Faculty of Electrical Engineering and Communication,Brno...
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Báo cáo hóa học: " Research Article On the Spectrum of Almost Periodic Solution of Second-Order Neutral Delay Differential Equations with Piecewise Constant of Argument" ppt
... of Second- Order Neutral Delay Differential Equationswith Piecewise Constant of ArgumentLi Wang and Chuanyi ZhangDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaCorrespondence ... periodic. In this paper, we investigate the existence,uniqueness, and spectrum containment of almost periodic solutions of 1.1. T he main resultobtained in this paper is different from that given in ... and xt are important in the process ofstudying the spectrum containment of the almost periodic solution of 1.1. Before givingthe main theorem, we list the following assumptions which will...
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