higher order differential equations
Augmented Lagrangian Methods for Numerical Solutions to Higher Order Differential Equations
... of differential equations associated with problems from ...usually higher order differential equations (4th or ...of higher order of these problems is exploited to ...
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Oscillation for higher order differential equations with a middle term
... () Recently, oscillation of equations with a forcing term have been studied. For example, the boundedness of any solutions is studied in [] and the periodic case in []. More- over, in [] a two-term equation ...
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Oscillation of higher order differential equations with distributed delay
... and higher-order differential equations have been widely studied by many authors, who have provided many techniques for obtaining oscillatory criteria for fourth- and higher-order ...
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2 Periodic Mild Solutions of Higher Order Differential Equations
... on a Banach space E, we give necessary and sufficient conditions for the periodicity of mild solutions. The results, which are proved in a simple manner, generalize some well-known ones. 1 Introduction In this paper we ...
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An improvement of the Lyapunov inequality for certain higher order differential equations
... q(t) dt > 4 b – a . Since then, Lyapunov inequality and many of its generalizations have gained a great deal of attention (see [3–12] and the references therein), because these results have found many applications in the ...
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Positive solutions for higher order differential equations with integral boundary conditions
... differential equations represent a very interesting and important class of problems and arise in the study of various phys- ical, biological and chemical processes, such as heat conduction, chemical ...
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Application of Homotopy Analysis Method for Solving Higher Order Differential Equations
... discusses higher order boundary value and initial value problems and their solution by using homotopy analysis ...method, higher order ordinary differential equation, boundary value ...
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Positive Solutions to Singular and Delay Higher-Order Differential Equations on Time Scales
... 5 R. P. Agarwal, V. Otero-Espinar, K. Perera, and D. R. Vivero, “Multiple positive solutions in the sense of distributions of singular BVPs on time scales and an application to Emden-Fowler equations,” Advances in ...
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Numerical Solution of Linear Ordinary Differential Equations of Higher Order by Differential Transformation Method
... Differential transformation method is used to find the solution of the higher order differential equations. The approximate solution of the problem is calculated in the form of a rapid ...
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The Boundary Value Problems of Higher Order Mixed Type of Delay Differential Equations
... 2) differential equations ...or higher order differential equations, we mainly adopt the scheme which transforms it into integral ...
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On Periodic Solutions of Higher-Order Functional Differential Equations
... 26 R. Hakl, A. Lomtatidze, and J. ˇSremr, Some Boundary Value Problems for First Order Scalar Functional Differential Equations, Masaryk University, Brno, Czech Republic, 2002. 27 I. Kiguradze and B. P ...
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GROWTH OF SOLUTIONS OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS
... the order of growth of a meromorphic function f and ρ 2 (f ) to denote the hyper- order of ...infinite order and ϕ is of finite order, then clearly that ϕ (z) is a small function with respect ...
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SOLVING HIGHER-ORDER INTEGRO DIFFERENTIAL EQUATIONS BY VIM AND MHPM
... 3 Department of Mathematics, Taiz University, Taiz, YEMEN Abstract: In this paper, the Variational Iteration Method (VIM) and Mod- ified Homotopy Perturbation Method (MHPM) are applied to solve boundary value problems ...
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Oscillation of higher order quasi linear neutral differential equations
... t, then results in Section 2 fail to apply. Below, we try to weak the above restrictions. In the following, we shall continue use the notation Q as in Section 2, and we let H(t) := max{1/(s -1 (t)) ’ , p g (t)/(s -1 ( τ ...
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On the growth of solutions of certain higher order linear differential equations
... where B q are entire functions of order less than n. By the hypothesis of Theorem ., we know that the coefficients of the term z n of polynomials d j l Q s , Q s , c j q P , P are distinct. Then by Lemma . ...
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Oscillation and Asymptotic Behavior of Higher Order Nonlinear Differential Equations
... The aim of this paper is to offer a generalization of the Philos and Staikos lemma. As a possible application of the lemma in the oscillation theory, we study the asymptotic properties and oscillation of the nth ...
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On the growth of solutions of higher order complex linear differential equations
... Department of Mathematics, College of Sciences, the University of Mustansiriyah, Baghdad, Iraq E-Mail: [email protected] ABSTRACT In this work, we proved, under certain conditions on coefficients, that any ...
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Higher order numerical methods for solving fractional differential equations
... introduce higher order numerical methods for solving fractional differential ...fractional differential operator: we obtain a numerical method for solving a linear fractional ...
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On hyper order of solutions of higher order linear differential equations with meromorphic coefficients
... differential equations. For an introduction to the theory of differential equations in the complex plane by using Nevanlinna theory; see, for example ...The order of growth of solutions of the ...
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Higher Order Equations
... th order linear homogeneous differential equation y (n) (t) + p 1 (t)y (n−1) (t) + p 2 (t)y (n−2) (t) + · · · + p n (t)y(t) = 0 defined on some interval I where the p i are continuous and we are therefore ...
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