Results 21 to 30 of about 47 (47)
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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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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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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Advances in Mathematical PhysicsMSC2020 Classification: 39A12, 39B62, 33B10, 26A48, 26A51.
Syeda Alishba Batool +4 more
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The generalized hypergeometric difference equation
Demonstratio Mathematica, 2018 A difference equation analogue of the generalized hypergeometric differential equation is defined, its contiguous relations are developed, and its relation to numerous well-known classical special functions are demonstrated.
Bohner Martin, Cuchta Tom
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Some Hardy's inequalities on conformable fractional calculus
Demonstratio MathematicaIn this article, we will demonstrate some Hardy’s inequalities by utilizing Hölder inequality, integration by parts, and chain rule of the conformable fractional calculus.
AlNemer Ghada +5 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, we deal with the existence of at least one and of at least two positive solutions as well the uniqueness of a positive solution for an anisotropic discrete non-linear problem involving p(k)-Laplacian with Dirichlet boundary value ...
Moghadam Mohsen Khaleghi +1 more
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