... 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 PBVPson 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...
... 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 ... maxt∈ITnut≤Mntnn!uc, 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...
... made available soon.Minimal and maximal solutions to first- orderdifferential equations withstate-dependent deviated argumentsBoundary Value Problems 2012, 2012:7 doi:10.1186/1687-2770-2012-7Ruben ... solutions for delaydifferential equations with state dependent delay. J. Diff. Equ. 144(2), 263–301 (1998)3. Dyki, A: Boundary value problems for differential equations with deviatedarguments ... Boundary value problems for ordinary differentialequations with deviated arguments. J. Optim. Theory Appl. 135(2), 257–269(2007)5. Jankowski, T: Existence of solutions of boundary value problems...
... functional differential inequalities generated by the Cauchyproblem for nonlinear first- order partial functional differential equations. Theunknown function is the functional variable in equation ... firstorder partial differential functionalequations. Nonlinear Anal TMA. 14, 837–850 (1990). doi:10.1016/0362-546X(90)90024-B14. Topolski, K: On the uniqueness of viscosity solutions for first ... Functional differential inequalities, Haar pyramid, Comparison the orems,Weak solutions of initial problems 1 IntroductionTwo types of results on first- order partial differential or functional differential...
... 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 firstorder 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-pointmotheds1. Introduction and preliminariesAs is known, integro -differential equations find many applications in various mathema-tical problems, ...
... “summary equation 2.1. Next weconsider a nonlinear first -order difference equation. 2 Advances in Difference EquationsUnlike 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 secondpart of this paper: Error Bound for Asymptotic Solutions of Second -order Linear Difference Equation ... lj3.11are finite. Equation 3.10 is a inhomogeneous second -order linear difference equation; itssolution takes the form of a particular solution added to an arbitrary linear combination ofsolutions...
... objects constitute borders between subdomains of the model. Such borders can be eliminated in this mode. Ω∂ ComputationVisualizationProgrammingPartial Differential Equation ToolboxFor ... 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...
... SolutionãMethodofConvolutionReferences2.1 Differential EquationsAfunctioncontainingvariablesandtheirderivativesiscalledadifferentialex pression,andanequationinvolvingdifferentialexpressionsiscalledadifferentialequation. Adifferentialequationisanordinary differential ... following equation d2ydt24+ 3dydt+ 5y2(t) = sintis an ordinary differentialequation of second order because the highest derivative is of the second order. An nth -order differentialequation ... 2Ordinary Linear Differential and Difference EquationsB.P. LathiCalifornia State University, Sacramento2.1 Differential EquationsClassical SolutionãMethodofConvolution2.2 Difference EquationsInitial...
... 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...