Green Functions for First Order Equations
Existence Theorems for First Order Equations on Time Scales with Carathéodory Functions
... of first-order equations on time ...Carath´eodory functions which are more general than continuous functions used for systems studied in 6, ...of first-order ...
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FIRST-ORDER DIFFERENTIAL EQUATIONS
... of functions and that satisfies both of the dif- ferential equations simultaneously for every over some time interval (finite or ...these equations in isolation to find solutions or since each ...
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Numerical treatment for first order neutral delay differential equations using spline functions
... Abstract. In this article, we introduce a new technique to find an approximate solution for first order neutral delay differential equations. This technique depends on approximate the solution using ...
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Separable First Order Differential Equations
... For example, suppose we want the value of c corresponding to the initial condition y(0) = 2.[r] ...
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System of First Order Differential Equations
... of First Order Differential Equations In this chapter, we will discuss system of first order differential equa- ...unknown functions simultaneously . Those unknown ...
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Regular and First Order List Functions
... the first-order fragment of regular string-to-string functions [16, Section ...atomic functions and combinators that describes exactly the first- order ...the ...
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Regular and first order list functions
... The first distinguishing feature of our approach is that, instead of considering only functions from strings to strings, we allow a richer Permission to make digital or hard copies of all or part of this ...
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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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First and second order dynamic equations with impulse
... 1. Introduction We first briefly survey the recent results for existence of solutions to first-order problems with fixed-time impulses. Periodic boundary conditions using upper and lower solutions ...
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Wave splitting for first order systems of equations
... differential equations are considered and the possible de- composition of the solutions in forward and backward propagating is ...dependent functions of the space ...
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Oscillation of First Order Neutral Difference Equations
... Abstract In this paper, we consider a class of first order neutral difference equations of the form ∆ [ r ( n )( x ( n ) + p ( n ) x ( n − τ ))] + q ( n ) x ( n − σ ) = 0, n ≥ n 0 . (∗) Some ...
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Systems of First Order Linear Differential Equations
... A matrix is a rectangular array of objects (called entries). Those entries are usually numbers, but they can also include functions, vectors, or even other matrices. Each entry’s position is addressed by the row ...
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8 Hyperbolic Systems of First-Order Equations
... Motivation. Recall that all linear, constant-coefficient second-order hyperbolic equations can be written as u tt − ∆u + . . . = 0 through a change of variables, where “. . . ” represents ...
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The solving integro-differential equations of fractional order with the ultraspherical functions
... integro-differential equations of Volterra ...highest order derivative in the equations and generat approximations to the lower order derivatives through integration of the higher-order ...
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Qualitative Research of First Order Linear Difference Equations
... Otherwise, the solution is said to be nonoscillatory. An equation is oscillatory if all its solutions are oscillatory. In the past few years, there has been an increasing interest in the study of oscillatory behavior of ...
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On Exact Controllability of First Order Impulsive Differential Equations
... References 1 S. Gao, L. Chen, J. J. Nieto, and A. Torres, “Analysis of a delayed epidemic model with pulse vaccination and saturation incidence,” Vaccine, vol. 24, no. 35-36, pp. 6037–6045, 2006. 2 J. J. Nieto, “Basic ...
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Nonoscillation of First Order Dynamic Equations with Several Delays
... of first-order delay-difference and differential equations has been extensively studied in the last two ...differential equations have their analogues for delay difference ...difference ...
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Some properties of algebraic difference equations of first order
... 6. Chiang, YM, Feng, SJ: On the growth of logarithmic differences, difference quotients and logarithmic derivatives of meromorphic functions. Trans. Am. Math. Soc. 361, 3767-3791 (2009) 7. Chen, ZX: On growth, zeros ...
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On the existence of solutions for a class of first order differential equations
... In order to obtain a more useful form of Lemma 2.2, we state the following lemma. Lemma 2.3 (see [3]). Let X be a Banach space and C ⊂ X be compact, then the closed convex hull of C is compact. Lemma 2.4. Let X be ...
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Numerical Solution of First Order Ordinary Differential Equations
... Differential equations arise from many problems in oscillations of mechanical and electrical systems, bending of beams, conduction of heat, velocity of chemical reactions ...
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