Results 11 to 20 of about 792 (81)
Sturmian comparison theorem for hyperbolic equations on a rectangular prism
AIMS Mathematics<abstract><p>In this paper, new Sturmian comparison results were obtained for linear and nonlinear hyperbolic equations on a rectangular prism. The results obtained for linear equations extended those given by Kreith [Sturmian theorems on hyperbolic equations, <italic>Proc. Amer. Math. Soc.</italic>, <bold>22</bold> (
Ozbekler, Abdullah +2 more
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Novel Stream Ciphering Algorithm for Big Data Images Using Zeckendorf Representation
Wireless Communications and Mobile Computing, Volume 2021, Issue 1, 2021., 2021 Big data is a term used for very large data sets. Digital equipment produces vast amounts of images every day; the need for image encryption is increasingly pronounced, for example, to safeguard the privacy of the patients’ medical imaging data in cloud disk.
Liangshun Wu, Hengjin Cai, Rajesh Kaluri
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Discrete Dynamics in Nature and Society, Volume 2018, Issue 1, 2018., 2018 This paper is concerned with boundary value problems for a fourth‐order nonlinear difference equation. Via variational methods and critical point theory, sufficient conditions are obtained for the existence of at least two nontrivial solutions, the existence of n distinct pairs of nontrivial solutions, and nonexistence of solutions.
Xia Liu +3 more
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International Journal of Differential Equations, Volume 2017, Issue 1, 2017., 2017 We compute explicitly the oscillation constant for Euler type half‐linear second‐order differential equation having multi‐different periodic coefficients.
Adil Misir +2 more
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Solvability of Nth Order Linear Boundary Value Problems
International Journal of Differential Equations, Volume 2015, Issue 1, 2015., 2015 This paper presents a method that provides necessary and sufficient conditions for the existence of solutions of nth order linear boundary value problems. The method is based on the recursive application of a linear integral operator to some functions and the comparison of the result with these same functions.
P. Almenar, L. Jódar, Peiguang Wang
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Conditional Oscillation of Half‐Linear Differential Equations with Coefficients Having Mean Values
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We prove that the existence of the mean values of coefficients is sufficient for second‐order half‐linear Euler‐type differential equations to be conditionally oscillatory. We explicitly find an oscillation constant even for the considered equations whose coefficients can change sign.
Petr Hasil +3 more
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Oscillation of Half‐Linear Differential Equations with Delay
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 We study the half‐linear delay differential equation (r(t)Φ(x′(t)))′ + c(t)Φ(x(τ(t))) = 0, Φ(x): = |x|p−2x, p > 1. We establish a new a priori bound for the nonoscillatory solution of this equation and utilize this bound to derive new oscillation criteria for this equation in terms of oscillation criteria for an ordinary half‐linear differential ...
Simona Fišnarová +2 more
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Euler Type Half‐Linear Differential Equation with Periodic Coefficients
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 We investigate oscillatory properties of the perturbed half‐linear Euler differential equation. We show that the results of the recent paper by O. Došlý and H. Funková (2012) remain to hold when constants in perturbation terms are replaced by periodic functions.
Ondřej Došlý +2 more
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Convergent Disfocality and Nondisfocality Criteria for Second‐Order Linear Differential Equations
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 This paper presents a method to determine whether the second‐order linear differential equation y′′ + q(x)y = 0 is either disfocal or nondisfocal in a fixed interval. The method is based on the recursive application of a linear operator to certain functions and yields upper and lower bounds for the distances between a zero and its adjacent critical ...
Pedro Almenar +2 more
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Critical Oscillation Constant for Difference Equations with Almost Periodic Coefficients
Abstract and Applied Analysis, Volume 2012, Issue 1, 2012., 2012 We investigate a type of the Sturm‐Liouville difference equations with almost periodic coefficients. We prove that there exists a constant, which is the borderline between the oscillation and the nonoscillation of these equations. We compute this oscillation constant explicitly.
Petr Hasil +2 more
wiley +1 more source