... equationswith piecewise constant arguments,” Acta Mathematica Sinica, vol 18, no 2, pp 263–276, 2002 H.-X Li, “Almost periodic solutions of second -order neutral delay-differential equationswith ... differential equationswith piecewise constant delays,” Journal of Mathematical Analysis and Applications, vol 99, no 1, pp 265–297, 1984 S M Shah and J Wiener, “Advanced differential equationswith piecewise ... R Yuan, “On the spectrum of almost periodic solution of second -order differential equationswith piecewise constant argument,” Nonlinear Analysis: Theory, Methods & Applications, vol 59, no 8,...
... element to the element Φ in S according to multiplication ◦ in group Ᏻ Linear functional equations of the kth orderwithconstant coefficients Let a j ∈ R, j = 0,1,2, ,k Then the equation ak f ◦ ... (x) + a0 f ◦ Φ0 (x) = (2.1) in S is called a linear homogeneous functional equation of kth orderwithconstant coefficients The coefficients are the constants a j , j = 0,1,2, ,k It is assumed that ... While constant functions are automorphic with respect to any Φ, there are examples of nonconstant automorphic functions One such is p(x) = sin(π(x − n)) on A remark on linear functional equations...
... the existence and multiplicity of positive solutions for a class of higher- order nonlinear fractional differential equationswith integral boundary conditions and obtained some easily verifiable ... equationswith pLaplace operator by employing the same technique of this paper, and whether or not our concise criteria can guarantee the existence of positive solutions for higher- order nonlinear ... differential equationswith fractional order and nonlocal conditions,” Nonlinear Analysis: Theory, Methods and Applications, vol 71, no 7-8, pp 2391–2396, 2009 17 H A H Salem, “On the nonlinear Hammerstein...
... allow superlinear growth of the nonlinearity of f (t, p) in p Inspired by [21, 24, 25], in this paper, we investigate the following second -order impulsive nonlinear differential equationswith periodic ... ordinary differential equations, ” Nonlinear Analysis, vol 51, no 7, pp 1223–1232, 2002 [24] C Bai, “Existence of solutions for second order nonlinear functional differential equationswith periodic boundary ... population,” Nonlinear Analysis: Real World Applications, vol 4, no 4, pp 639–651, 2003 [16] R P Agarwal and D O’Regan, “Multiple nonnegative solutions for second order impulsive differential equations, ”...
... and difference equations, Mem Differential Equations Math Phys (1995), 1–113, 133 I T Kiguradze and T Kusano, On periodic solutions of higher- order nonautonomous ordinary differential equations, Differ ... solutions of systems of linear functional-differential equations, Arch Math (Brno) 33 (1997), no 3, 197–212 , Boundary Value Problems for Systems of Linear Functional Differential Equations, Folia Facultatis ... solutions of second order functional differential equations, Mem Differential Equations Math Phys (1995), 125–126 ˇ S Schwabik, M Tvrd´ , and O Vejvoda, Differential and Integral Equations Boundary...
... boundary value problems for systems of higherorder ordinary differential equationswith singularities, Georgian Mathematical Journal (1994), no 1, 31–45 32 Linear BVPs with strong singularities [13] ... differential equations of higher order, Georgian Mathematical Journal (2001), no 4, 791–814 [11] I T Kiguradze and B L Shekhter, Singular boundary value problems for second -order ordinary differential equations, ... Fredholm property since the constant r does not depend on q 28 Linear BVPs with strong singularities Proof of Corollary 1.4 By conditions (1.23), there exist positive constants m), satisfying inequalities...
... neutral differential equations, ” Annals of Differential Equations, vol 19, no 1, pp 65–70, 2003 [20] S H Saker, “Oscillation of higherorder neutral delay differential equationswith variable coefficients,” ... of higher- order neutral equations, ” The Tohoku Mathematical Journal, vol 41, no 4, pp 575–588, 1989 [27] B Yang and B G Zhang, “Oscillation of a class of higherorder neutral differential equations, ” ... class of even -order neutral equations, ” Applied Mathematics Letters, vol 16, no 7, pp 1011–1018, 2003 [24] P Wang and M Wang, “Oscillation of a class of higherorder neutral differential equations, ”...
... Maple Linear first -order differentialequations Applications of linear first -order differentialequations Mixing problems Exponential growth and decay Newton’s law of Cooling Nonlinear first -order differential ... subjects of differentialequations and linear algebra, the presentation begins with first -order differential equations, followed by second- and higherorderlineardifferentialequations Following ... general solutions to systems of lineardifferentialequations or higherorderlineardifferentialequations Over the past decade or two, first -order differentialequations have become a standard...
... prove some new results on existence of solutions to first -order ordinary differential equationswith deviated arguments Delay differential equations are included in our general framework, which even ... (greatest) solution This seems to be a peculiar feature of equationswith deviated arguments, see [1] for an example with a second -order equation Therefore, we are obliged to distinguish between ... solutions First -order differential equationswith state-dependent deviated arguments have received a lot of attention in the last years We can cite the recent articles [2–7] which deal with existence...
... problem for non -linear differentialequations of fractional order Nonlinear Anal 2011, 74:792-804 Zhang L, Wang G: Existence of solutions for nonlinear fractional differentialequationswith impulses ... W: On some nonlinear ordinary differentialequationswith advanced arguments Nonlinear Anal 2003, 53:495-505 Yan JR: Oscillation of first -order impulsive differentialequationswith advanced ... problem for second orderdifferentialequationswith an advanced argument Nonlinear Anal 2006, 65:2013-2023 Jankowski T: Positive solutions for fourth -order differentialequationswith deviating...
... problem for second order nonlinear singular differential equations, ” Georgian Mathematical Journal, vol 7, no 1, pp 133–154, 2000 Z Yang, “Positive solutions to a system of second -order nonlocal boundary ... p-Laplacian fourth -order differential equationswith integral boundary conditions,” Journal of Computational and Applied Mathematics, vol 222, no 2, pp 561–573, 2008 14 C Corduneanu, Integral Equations ... integral condition holds: 0< s − s f s, − s ds < ∞ 4.7 Consider the fourth -order singular p-Laplacian differential equationswith integral conditions: f t, x t , x t , ϕp x t x x 0, < t < 1, g s x...
... p-Laplacian fourth -order differential equationswith integral boundary conditions 0, k 1, 2, , m, g 0, h 0, and p 2, problem 1.6 is For the case of Ik related to fourth -order two-points boundary ... interesting discussions associated with problem 1.6 Discussion Generally, it is difficult to obtain the upper and lower bounds of positive solutions for nonlinear higher- order boundary value problems ... second order impulsive differential equationswith advanced arguments,” Applied Mathematics and Computation, vol 197, no 1, pp 179–189, 2008 17 T Jankowski, “Positive solutions to second order...
... the second -order impulsive functional differential equations, Computers & Mathematics with Applications 50 (2005), no 34, 491–507 [2] T Jankowski, Advanced differential equationswith nonlinear boundary ... differential equationswith nonlinear boundary conditions, Boundary Value [3] Problems 2005 (2005), no 2, 201–214 , Solvability of three point boundary value problems for second order differential equations ... functional differential equations, Nonlinear Analysis 50 (2002), no 7, 885–898 [8] D Jiang, P Weng, and X Li, Periodic boundary value problems for second order differential equationswith delay and monotone...
... 0} with intensity λ > is a piecewise constant process with stationary independent increments with initial value N0 = such that Nt − Ns is Poisson distributed with intensity λt−s , that is, with ... on a time discretization (t)Δ , with maximum step size Δ > 0, converges with strong order γ at time T to the solution X of a given SDE, if there exists a positive constant C, independent of Δ, ... achieves an order γ of strong convergence, then it also achieves at least an order β = γ of weak convergence We emphasize that the weak order obtained above is usually not sharp and, thus, the order...