explain first order and higher degree differential equation with example

Ngày tải lên: 21/06/2014, 16:20

... Dong, and Z. W., “Green’s function and positive solutions of n th order m-point boundary value problem,” Applied Mathematics and Computation, vol. 182, no. 2, pp. 1231–1239, 2006. 23 J. Yang and ... pages doi:10.1155/2011/456426 Research Article Positive Solutions of nth -Order Nonlinear Impulsive Differential Equation with Nonlocal Boundary Conditions Meiqiang Feng, 1 Xuemei Zhang, 2 and Xiaozhong Yang 2 1 School of Science, ... Henderson, and S. Ntouyas, Impulsive Differential Equations and Inclusions, vol. 2 of Contemporary Mathematics and Its Applications, Hindawi, New York, NY, USA, 2006. 3 D. D. Ba ˘ ınov and P. S....

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Ngày tải lên: 08/04/2015, 15:29

... Mathematics with Applications, vol. 59, no. 3, pp. 1345–1351, 2010. 24 M. Feng, X. Zhang, and W. Ge, “New existence results for higher -order nonlinear fractional diff erential equation with integral ... differential equations,” Electronic Journal of Differential Equations, no. 36, pp. 1–12, 2006. 16 M. Benchohra, S. Hamani, and S. K. Ntouyas, “Boundary value problems for differential equations with ... 1996. 27 X. Zhang, M. Feng, and W. Ge, “Existence result of second -order differential equations with integral boundary conditions at resonance,” Journal of Mathematical Analysis and Applications, vol....

Ngày tải lên: 21/06/2014, 05:20

... Fourth -Order Singular p-Laplacian Differential Equations with Integral Boundary Conditions Xingqiu Zhang 1, 2 and Yujun Cui 3 1 Department of Mathematics, Huazhong University of Science and Technology, ... fourth -order differential equations with integral boundary conditions,” Journal of Computational and Applied Mathematics, vol. 222, no. 2, pp. 561–573, 2008. 14 C. Corduneanu, Integral Equations and ... Project of Shandong Province Higher Educational Science and Technology Program no. J10LA53 and the National Natural Science Foundation of China no. 10971179. References 1 X. Du and Z. Zhao,...

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Ngày tải lên: 12/01/2014, 22:19

... minimal solution and least solution (or maximal and greatest solutions), unfortunately often identified in the literature on lower and upper solutions. First- order differential equations with state-dependent ... Functional differential equations with state-dependent delays: theory and applications. Hand- b ook of Differential Equations: Ordinary Differential Equations, vol. III. Elsevier/North-Holland, Amsterdam ... upper solutions and not have the least (greatest) solution. This seems to be a peculiar feature of equa- tions with deviated arguments, see [1] for an example with a second -order equation. Therefore,...

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Ngày tải lên: 22/06/2014, 03:20

... the constant parts and using the antiderivation: VERIFIEDHIGH-ORDERINTEGRATIONOFDAES AND HIGHER -ORDER ODES Jens Hoefkens Martin Berz Kyoko Makino Department of Physics and Astronomy and National Superconducting ... forOrdinary Differential Equations and Differential- Algebraic Equations. SIAM. Berz, M. (1999). Modern Map Methods in Particle Beam Physics. Academic Press, San Diego. Berz, M. (2000). Higher order ... more general higher order ODEs. 3.1. Example Earlier, we indicated that the presented method can also be used for the direct integration of higher order problems. To illustrate this, and to show...

Ngày tải lên: 12/01/2014, 21:46

... Grammar," in Natural Language Understanding and Logic Programming, Dahl and Saint-Dizier ed., 1985 North Holland. Amsterdam, The Netherlands. Maxwell, J. T., III and R. Kaplan. "An Overview ... feature structures, but instead uses standard first- order logic to axiomatize attribute-value structures and express constraints on them, including disjunctive and negative constraints. The resulting ... <_11, of(l) and (2). Then subj(xl) ~ x2, number(x4) = singular and number(agr(x2 ) ) = number(x 4) are true, for example. Since e 4 and e5 are distinct elements, x8 = Xll is false and hence...

Ngày tải lên: 24/03/2014, 02:20

... y 0 (1.3)(1.4) where λ and α are positive constants. Equation 1.3 is termed a first -order, linear, ordinary differential equation with variable coefficients. These terms are explained below. Term Explanation Differential ... derivative First- order The highest -order derivative is first order (dy/dt is first order) Linear y and its derivative dy/dt are to the first power; thus, Equation 1.3 is also termed first degree (do not confuse order ... easily verified as the solution to Equations 1.3 and 1.4 by substitution in these equations: Terms in Substitution of Equation 1.5 Equations 1.3 and 1.4 in Equations 1.3 and 1.4 dy dt y 0 exp  λ α (1...

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Ngày tải lên: 24/04/2014, 17:17

... delay differential equations of higher order for p(t) = ± 1. Arch Math. 40, 359–366 (2004) 16. Tang, S, Li, T, Thandapani, E: Oscillation of higher -order half-linear neutral differential equations. ... the oscillation of odd -order differential equation and Lemma 2.5, we can easily obtain the following results regarding the oscillation of even- order neutral differential equations. Theorem 2.12. ... oscillation of odd order neutral differential equations. Fasc Math. 29, 167–183 (1999) 21. Zhang, Q, Yan, J: Oscillation behavior of even order neutral differential equations with variable coefficients....

Ngày tải lên: 20/06/2014, 22:20

... ||w|| B , || ¯ w || B ≤ A . There are differential integral equations and differential equations with deviated vari- ables such that Assumption H[F] is satisfied and the functions ∂ x F, ∂ w F, and ∂ q F do not satisfy ... ND: The Characteristics method and Its Generalizations for First Order Nonlinear Partial Differential equations. Chapmann and Hall/CRC, Boca Raton, FL (2000) 6. Brandi, P, Marcelli, C: Haar Inequality ... Poland Abstract The article deals with functional differential inequalities generated by the Cauchy problem for nonlinear first- order partial functional differential equations. The unknown function...

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