ON DIFFERENCE EQUATION WITH GENERALIZED DILATION PAVEL PLASCHINSKY Received 22 July 2004; Revised 24 pot

... every nonnegative integer n. ON DIFFERENCE EQUATION WITH GENERALIZED DILATION PAVEL PLASCHINSKY Received 22 July 2004; Revised 24 January 2005; Accepted 27 January 2005 We investigate the functional ... would like to thank A. B. Antonevich for the attention to the paper. 2Ondifference equation with dilation In terms of the discrete Mellin convolution with τ-...

Ngày tải lên: 23/06/2014, 00:20

... a nonzero homoclinic solution u ∈  q . (C) Second-Order Difference Equations with Cubic and Quintic Nonlinearities. Our next example is 3.3, known as stationary Ginzubrg-Landau equation with ... strictly monotone. Moreover, we can prove that if in addition to conditions F 1 –F 3  the following condition holds: F 4  fk, t > 0forallt<0andallk ∈ , the homoclinic solution of...

Ngày tải lên: 21/06/2014, 11:20

Ngày tải lên: 22/03/2014, 11:20

... Corporation Advances in Difference Equations Volume 2010, Article ID 542073, 13 pages doi:10.1155/2010/542073 Research Article Complete Asymptotic and Bifurcation Analysis for a Difference Equation with Piecewise ... the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We cons...

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... problems of nonlinear functional difference equations with p-Laplacian operator is investigated. Sufficient conditions are obtained for the existence of at least one positive solution and two positive ... differential equations with deviating arguments,” Aequationes Mathematicae, vol. 4, no. 1-2, pp. 176–190, 1970. [3] G. B. Gustafson and K. Schmitt, “Nonzero solutions of boundary value probl...

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... developed oscillation theory for linear equations, in Section 4 sufficient conditions for oscillation (nonoscillation) of solutions of (1.1)aboutequilibriumK are presented. These condi- tions are sharp for constant ... to find such constraints on initial conditions and parameters of the equation for which the solution of (1.1) will be positive. Everywhere above we considered only positive so...

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... estimates the contribution of wave setup in total storm tide level at coastal and estuarine region of Hai Phong. Results show that wave setup at coastal and estuarine region in Hai Phong contributes ... setup equations were developed from field and laboratory data in which moderately sized deepwater waves impinges almost directly on the coastline. The surf zones during these condition...

Ngày tải lên: 14/03/2014, 15:20

... condition on the function f (t,x) with a constant M. But it depends not only on the graininess function but also on the distance σ(b) −a. However, his results are for general nth order equation whose ... R,is[5]. However, on time scales the situation is more compli- cated and additional conditions containing the graininess function have to be introduced. Similar results concerning...

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Ngày tải lên: 22/03/2014, 11:20

... quasilinearization technique is a var- iant of Newton’s method. This method applies to semilinear e quations with convex (concave) nonlinearities and generates a monotone scheme whose iterates converge quadratically ... for a class of second order singular nonlinear differential equations with nonlinear boundary conditions. Nonlinear Anal Real World Appl. 8, 174–186 (2007). doi:10.1016/j....

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