first order linear differential equation practice problems

Ngày tải lên: 23/06/2014, 00:20

... to first -order dynamic boundary value problems, ” International Journal of Difference Equations, vol. 1, no. 1, pp. 1–17, 2006. 3 P. W. Eloe, “The method of quasilinearization and dynamic equations ... scales,” Advances in Difference Equations, vol. 1, pp. 81–92, 2005. 6 J P. Sun and W T. Li, “Positive solution for system of nonlinear first -order PBVPs on time scales,” Nonlinear Analysis: Theory, ... nonlinear first -order PBVPs on time scales,” Computers & Mathematics with Applications, vol. 54, no. 6, pp. 861–871, 2007. 9 J P. Sun and W T. Li, “Positive solutions to nonlinear first-order...

Ngày tải lên: 21/06/2014, 16:20

... J P. Sun, and Y H. Zhao, “Existence of positive solutions for nonlinear third -order three- point boundary value problems, ” Nonlinear Analysis. Theory, Methods & Applications, vol. 68, no. ... of third -order differential equations,” Mathematica Slovaca, vol. 60, no. 4, pp. 485–494, 2010. 4 Y. Sun, “Positive solutions for third -order three-point nonhomogeneous boundary value problems, ” Applied ... max t∈I   T n u  t  ≤ M n t n n!  u  c , 3.39 10 Boundary Value Problems 13 Z. Du, W. Ge, and X. Lin, “Existence of solutions for a class of third -order nonlinear boundary value problems, ” Journal of Mathematical Analysis...

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Ngày tải lên: 22/06/2014, 03:20

... made available soon. Minimal and maximal solutions to first- order differential equations with state-dependent deviated arguments Boundary Value Problems 2012, 2012:7 doi:10.1186/1687-2770-2012-7 Ruben ... solutions for delay differential equations with state dependent delay. J. Diff. Equ. 144(2), 263– 301 (1998) 3. Dyki, A: Boundary value problems for differential equations with deviated arguments ... Boundary value problems for ordinary differential equations with deviated arguments. J. Optim. Theory Appl. 135(2), 257–269 (2007) 5. Jankowski, T: Existence of solutions of boundary value problems...

Ngày tải lên: 20/06/2014, 20:20

... functional differential inequalities generated by the Cauchy problem for nonlinear first- order partial functional differential equations. The unknown function is the functional variable in equation ... first order partial differential functional equations. Nonlinear Anal TMA. 14, 837–850 (1990). doi:10.1016/0362-546X(90)90024-B 14. Topolski, K: On the uniqueness of viscosity solutions for first ... Functional differential inequalities, Haar pyramid, Comparison the orems, Weak solutions of initial problems 1 Introduction Two types of results on first- order partial differential or functional differential...

Ngày tải lên: 21/06/2014, 02:20

... following first- order nonlinear integro -differential system with periodic boundary value conditions.  x  = f (t, x,(Kx)(t )), t ∈ [0 , 1] ; x(0) = x(1); (1:1) and first- order integro -differential ... problem for nonlinear first order ordinary differential equations. Math Inequal Appl. 6, 477–485 (2003) 23. Luo, ZG, Shen, JH, Nieto, JJ: Antiperiodic boundary value problem for first -order impulsive ... value problems, integro -differential equations, fixed-point motheds 1. Introduction and preliminaries As is known, integro -differential equations find many applications in various mathema- tical problems, ...

Ngày tải lên: 21/06/2014, 02:20

... “summary equation 2.1. Next we consider a nonlinear first -order difference equation. 2 Advances in Difference Equations Unlike t he method used by Olver 4 to treat asymptotic solutions of second -order linear ... second order linear difference equations in the first case. For the second case, we leave it to the second part of this paper: Error Bound for Asymptotic Solutions of Second -order Linear Difference Equation ... l  j       3.11 are finite. Equation 3.10 is a inhomogeneous second -order linear difference equation; its solution takes the form of a particular solution added to an arbitrary linear combination of solutions...

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Ngày tải lên: 13/08/2014, 16:20

... objects constitute borders between subdomains of the model. Such borders can be eliminated in this mode. Ω∂ Computation Visualization Programming Partial Differential Equation Toolbox For ... ãTime-dependent problems are easy to implement in the FEM context. The solution u(x,t) of the equation can be approximated by . This yields a system of ordinary differential equations (ODE) ... u, the PDE is called nonlinear and FEM yields a nonlinear system K(U) U= F(U). You can use iterative methods for solving the nonlinear system. The toolbox provides a nonlinear solver called...

Ngày tải lên: 26/01/2014, 02:20

... Solution ã MethodofConvolution References 2.1 Differential Equations Afunctioncontainingvariablesandtheirderivativesiscalledadifferentialex pression,andanequation involvingdifferentialexpressionsiscalledadifferentialequation. Adifferentialequationisanordinary differential ... following equation  d 2 y dt 2  4 + 3 dy dt + 5y 2 (t) = sint is an ordinary differential equation of second order because the highest derivative is of the second order. An nth -order differential equation ... 2 Ordinary Linear Differential and Difference Equations B.P. Lathi California State University, Sacramento 2.1 Differential Equations Classical Solution ã MethodofConvolution 2.2 Difference Equations Initial...

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Ngày tải lên: 14/03/2014, 13:20

... However the decision problem for sublanguages of first- order logic has been intensively investigated [4], and there are decidable classes of first- order formulae [8] that appear to be expressive ... results are well-known properties of first- order logic. Since both the axiomatizion and the constraints are actually expressed in a decidable class of first- order formulae, viz. quantifier-free ... disjunctive constraints [13]) can immediately be applied to feature structure constraints. Further, first- order logic can be used to axiomatize other types of feature structures in addition to attribute-value...

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