Combined forces and its differential equation
Periodic Solutions for PLaplacian Differential Equation with Singular Forces of Attractive Type
... Laplacian Differential Equation with Singular Forces of Attractive Type De-xin Lan and Wen-bin Chen ∗ Abstract—This paper is concerned with the periodic solutions for p−Laplacian differential ...
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Bessel's Differential Equation and Its Hyers Ulam Stability
... We solve the inhomogeneous Bessel differential equation and apply this result to obtain a partial solution to the Hyers-Ulam stability problem for the Bessel di ff erential equation. Copyright © 2007 B. Kim ...
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Brenstien polynomials and its application to fractional differential equation
... Abstract The paper is devoted to the study of Brenstien Polynomials and development of some new operational matrices of fractional order integrations and derivatives. The operational matrices are used to convert ...
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Differential Equation
... linear differential equation is that there are no products of the dependent variable and its derivatives or no products of the derivatives and neither the dependent variable not its ...
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A Study on Applications of Partial Differential Equation and Its Pelation with Fourier
... on its lateral surface, heat flow in a semi–infinite region, wave equation, Laplace equation in a half-plane and in a semi-infinite strip, and some partial differential equation on the ...
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Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type
... In Section 2, we prepare the definition of Riemann- Liouville fD and then explain how the function u t and its fD in (1.2) are converted into the corresponding distribution and its fD in distribution ...
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Differential Equation Notes
... It is well known that charcoal is burnt wood and that with time certain changes take place in all dead organic matter. It is also known that all living organisms contain two isotopes of carbon, namely C 12 and C 14 . The ...
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The solution for a class of sum operator equation and its application to fractional differential equation boundary value problems
... operator equation; fixed point theorem; fractional differential equation; positive solution 1 Introduction Over the past several decades, nonlinear functional analysis has been an active area of research in ...
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Differential Equation and Bifurcation Analysis
... KEYWORDS: Prey model, Explicity, Implicity I. INTRODUCTION Bifurcation analysis is used to systematically detect unexpected dynamic behaviours of two predator-prey models that have recently received support and ...
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Differential Equation - Problem Set.docx
... 15. A piece of charcoal is only 11% or 14 C of its original amount and the half-life of 14 C is 2,300 years. When was the tree cut from which the charcoal came from? 16. A radioactive substance decreases from 10 g ...
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An Extensible Differential Equation Solver
... ) : 5 Discussion The method given in this article is part algorithm and part heuristic. Its greatest strength over other DE solvers is its extendibility. Unlike other solvers, the method we presented in ...
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A class of retarded nonlinear integral inequalities and its application in nonlinear differential integral equation
... 6. Bihari, IA: A generalization of a lemma of Bellman and its application to uniqueness problem of differential equation. Acta Math. Acad. Sci. Hung. 7, 81-94 (1956). doi:10.1007/BF02022967 7. Pachpatte, BG: ...
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The general solutions of an auxiliary ordinary differential equation using complex method and its applications
... differential equation at first, and then find all meromorphic general solutions of in combination the Newell-Whitehead equation, the NLS equation, and the Fisher equation with degree ...the ...
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ROF for the Combined Field Integral Equation
... This section gives several examples to demonstrate efficiency and precision of ROF. The principle of choosing its grid for fitted point is that the distance from the grid’s center to the fitted point is not more than ...
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first order differential equation (applications)
... to its velocity v(t) at any time time then the force acting on the body is mg − kv where k is a constant of proportionality and the negative sign is due to the fact that resistance opposes the ...
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Differential inequalities and the matrix Riccati equation
... Lemma 3 ensures that an appropriate translation can always be found. Reid, in a somewhat similar situation, used Moore generalised inverses. In our extended matrix approach we make no use of the inverse of a singular ...
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On the connection problem for nonlinear differential equation
... Mathematical Surveys and Monographs, vol. 128. Am. Math. Soc., Providence (2006) 7. Its, A.R., Novokshenov, V.Y.: The Isomonodromic Deformation Method in the Theory of Painlevé Equations. Lect. Notes Maths., vol. ...
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Hyers Ulam Stability of Differential Equation
... 11 T. Miura, S.-M. Jung, and S.-E. Takahasi, “Hyers-Ulam-Rassias stability of the Banach space valued linear di ff erential equations y λy,” Journal of the Korean Mathematical Society, vol. 41, no. 6, pp. 995–1005, 2004. ...
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Parameter estimation of stochastic differential equation
... and quite tedious if heuristic approach is made where the location of the knots are chosen through visual inspection of the scatter plot. to reduce the time and improve efficiency, an algorithm is introduced for ...
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