first-order differential equations
The Adomian decomposition method for numerical solution of first-order differential equations
... Abstract. In this paper, the Adomian decomposition method (ADM) is a powerful method which considers the approximate solution of a non-linear equation as an infinite series which usually converges to the exact solution. ...
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Application of Eigenvalues and Eigenvectors to Systems of First Order Differential Equations
... polynomial equations can be a formidable ...polynomial equations cannot be solved by a finite number of arithmetic operations involving +, −, × and ...
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On the existence of solutions for a class of first order differential equations
... 2. Preliminary results. We prove a sequence of lemmas which are needed in order to prove our main result. To illustrate the general results obtained for the problem in (1.5), (1.6), we from time to time consider ...
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Numerical Solution of First Order Ordinary Differential Equations
... of first order differential equations arising in various applications of science and engineering using some classical numerical ...contain differential equations of the ...
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Numerical Solution of First Order Ordinary Differential Equations
... of first order differential equations arising in various applications of science and engineering using some classical numerical ...contain differential equations of the ...
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A New Approach In Determining Solution Of The Differential Equations And The First Order Partial Differential Equations
... Non-Homogeneous First Order Differential Equations and formation of the differential equation by eliminating parameter in short ...The first order partial derivatives of z ...
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First-Order Singular and Discontinuous Differential Equations
... Another modification of the concepts of lower and upper solutions concerns the possibility of allowing jumps in their graphs. Since the task of finding a pair of lower and upper solutions is by no means easy in general, ...
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Bifurcation of positive periodic solutions of first-order impulsive differential equations
... Differential equations involving impul- sive effects occur in many applications: physics, population dynamics, ecology, biological systems, biotechnology, industrial robotic, pharmacokinetics, optimal control, ...
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On the oscillation of first order neutral delay differential equations with real coefficients
... differential equations presents com- plications and the results which are true for neutral differential equations may not be true for nonneutral differential ...differential equations has some importance ...
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Uncountably many solutions of first order neutral nonlinear differential equations
... differential equations with delay and nonlinear systems in view of Ważievski’s retract principle and later extended to retarded functional differential equations by ...differential equations and Lin et ...
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Pseudo almost periodic solutions for first order neutral differential equations
... sufficient conditions for the existence of pseudo-almost periodic (mild) solutions are ob- tained in [10, 11]. On the other hand, the global exponential stability of pseudo-almost periodic solutions plays a key role in ...
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Oscillation of Nonlinear Delay Differential Equation with Non-Monotone Arguments
... Zhang, Oscillation of first order linear differential equations with deviating arguments, Differential Integral Equations, 1 (1988), 305-314.. [9] N.[r] ...
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Nonlinear Boundary Value Problem of First Order Impulsive Functional Differential Equations
... This paper investigates the nonlinear boundary value problem for a class of first-order impulsive functional differential equations. By establishing a comparison result and utilizing the method of ...
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14. On the stability and instability of functional Volterra integro-differential equations of first order
... [9] John R. Graef, C. Tun¸ c and S. Sevgin, Behavior of solutions of non-linear functional Voltera integro -differential equations with multiple delays, Dynam. Systems Appl. 25 (2016) 39–46. [10] G. ...
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A new numerical integrator for the solution of stiff first order ordinary differential equations
... Problem 4.1.1 was solved by [9] where a three block backward differenciation formula was proposed. Problem 4.1.2 was solved by [3] where a stiff starting block method of order six was proposed. Problem 4.1.3 was ...
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A Numerical Solution of First order Simultaneous Fuzzy Differential Equations by Sixth Order Runge Kutta Method
... sixth order Runge-Kutta method and defined to solve the first order simultaneous fuzzy differential equation with initial value ...fourth order method with the approximation solution by ...
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Solution of Differential Equations of the First Order via Different Order of Runge-Kutta method with it’s Application
... numerical differential equations using Euler's method and is not very useful in practical problems since it require a very small step length h for obtaining a reasonable ...higher order terms in ...
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Generalized H-differentiability for solving second order linear fuzzy differential equations
... ond order fuzzy differential equations (FDE) with fuzzy initial value under strongly generalized H- differentiability is ...second order fuzzy differential equation satisfy the ...
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Positive periodic solutions for nonlinear first-order delayed differential equations at resonance
... Remark 1.1 Obviously, since a and f are sign-changing, equation (1.3) is more general than corresponding ones studied in the existing literature. For other existence results on nonlinear differential equations at ...
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Numerical oscillations for first order nonlinear delay differential equations in a hematopoiesis model
... difference equations [, ], differential equations with piecewise continuous arguments (EPCA) [, ], dynamic equations [, ] and partial differential equations [, ...differential ...
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