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on the effect of linear & non-linear texts on students comprehension and recalling
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15 صفحه اولOn Periodic Solutions of Systems of Linear Functional Differential Equations
This paper deals with the system of functional-diierential equations dx(t) dt = p(x)(t) + q(t); where p : C!(R n) ! L!(R n) is a linear bounded operator, q 2 L!(R n), ! > 0 and C!(R n) and L!(R n) are spaces of n-dimensional !-periodic vector functions with continuous and integrable on 0;!] components, respectively. Conditions which guarantee the existence of a unique !-periodic solution and co...
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Sufficient conditions of the existence and uniqueness of bounded on real axis solutions of systems of linear functional differential equations are established. 1. Formulations of the Main Results Let R be the set of real numbers, Cloc(R, R) be the space of continuous functions u : R → R with the topology of uniform convergence on every compact interval and Lloc(R,R) be the space of locally summ...
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In this paper, an existence result for a class of infinite systems of functional-integral equations in the Banach sequence space $c_{0}$ is established via the well-known Schauder fixed-point theorem together with a criterion of compactness in the space $c_{0}$. Furthermore, we include some remarks to show the vastity of the class of infinite systems which can be covered by our result. The a...
متن کاملExact and numerical solutions of linear and non-linear systems of fractional partial differential equations
The present study introduces a new technique of homotopy perturbation method for the solution of systems of fractional partial differential equations. The proposed scheme is based on Laplace transform and new homotopy perturbation methods. The fractional derivatives are considered in Caputo sense. To illustrate the ability and reliability of the method some examples are provided. The results ob...
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ژورنال
عنوان ژورنال: Aequationes Mathematicae
سال: 1983
ISSN: 0001-9054,1420-8903
DOI: 10.1007/bf02189666