Results 21 to 30 of about 530 (65)
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
General-type discrete self-adjoint Dirac systems: explicit solutions of direct and inverse problems, asymptotics of Verblunsky-type coefficients and stability of solving inverse problem [PDF]
, 2018 We consider discrete self-adjoint Dirac systems determined by the potentials (sequences) $\{C_k\}$ such that the matrices $C_k$ are positive definite and $j$-unitary, where $j$ is a diagonal $m\times m$ matrix and has $m_1$ entries $1$ and $m_2$ entries $
Roitberg, I. Ya., Sakhnovich, A. L.
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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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Almost periodic solutions of Volterra difference systems
Demonstratio Mathematica, 2017 We study the existence of an almost periodic solution of discrete Volterra systems by means of fixed point theory. Using discrete variant of exponential dichotomy, we provide sufficient conditions for the existence of an almost periodic solution.
Koyuncuoglu Halis Can, Adıvar Murat
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, 2010 The fundamental problem of the calculus of variations on time scales concerns the minimization of a delta-integral over all trajectories satisfying given boundary conditions.
Agnieszka B. Malinowska +27 more
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