Results 21 to 30 of about 530 (62)
Comparison and oscillation results for delay difference equations with oscillating coefficients
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 1, Page 171-176, 1996., 1993 In this paper we consider the oscillation of the delay difference equation with oscillating coefficients Some comparison and oscillation results are obtained.
Weiping Yan, Jurang Yan
wiley +1 more source
Open Mathematics, 2017 Triple solutions are obtained for a discrete problem involving a nonlinearly perturbed one-dimensional p(k)-Laplacian operator and satisfying Dirichlet boundary conditions.
Khaleghi Moghadam Mohsen +1 more
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Comparison results and linearized oscillations for higher‐order difference equations
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 1, Page 129-142, 1992., 1990 Consider the difference equations and We establish a comparison result according to which, when m is odd, every solution of Eq.(1) oscillates provided that every solution of Eq.(2) oscillates and, when m is even, every bounded solution of Eq.(1) oscillates provided that every bounded solution of Eq.(2) oscillates.
G. Ladas, C. Qian
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Oscillation and nonoscillation theorems for some mixed difference equations
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 3, Page 537-541, 1992., 1990 In this paper we investigate the oscillatory and nonoscillatory behavior of solutions of certain mixed third and fourth order difference equations. Specific results are also obtained for the constant coefficient cases.
B. Smith, W. E. Taylor Jr.
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Continuous dependence and differentiation of solutions of finite difference equations
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 4, Page 747-756, 1991., 1991 Conditions are given for the continuity and differentiability of solutions of initial value problems and boundary value problems for the nth order finite difference equation, u(m + n) = f(m, u(m), u(m + 1), …, u(m + n − 1)), m ∈ ℤ.
Johnny Henderson, Linda Lee
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Generalized Euler-Lagrange equations for variational problems with scale derivatives
, 2010 We obtain several Euler-Lagrange equations for variational functionals defined on a set of H\"older curves. The cases when the Lagrangian contains multiple scale derivatives, depends on a parameter, or contains higher-order scale derivatives are ...
Delfim F. M. Torres +8 more
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On the connection between the Hilger and Radon--Nikodym derivatives [PDF]
, 2011 We show that the Hilger derivative on time scales is a special case of the Radon--Nikodym derivative with respect to the natural measure associated with every time scale. Moreover, we show that the concept of delta absolute continuity agrees with the one
Gerald Teschl +3 more
core +5 more sources
The Natural Logarithm on Time Scales
, 2008 We define an appropriate logarithm function on time scales and present its main properties. This gives answer to a question posed by M. Bohner in [J. Difference Equ. Appl. {\bf 11} (2005), no.
Ahlbrandt C. D. +5 more
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Quasi‐adjoint third order difference equations: oscillatory and asymptotic behavior
International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 4, Page 781-784, 1986., 1986 In this paper, asymptotic properties of solutions of are investigated via the quasi‐adjoint equation A necessary and sufficient condition for the existence of oscillatory solutions of (E+) is given. An example showing that it is possible for (E+) to have only nonoscillatory solutions is also given.
B. Smith
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Bounded solutions of self-adjoint second order linear difference equations with periodic coeffients
Open Mathematics, 2018 In this work we obtain easy characterizations for the boundedness of the solutions of the discrete, self–adjoint, second order and linear unidimensional equations with periodic coefficients, including the analysis of the so-called discrete Mathieu ...
Encinas A.M., Jiménez M.J.
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