Results 11 to 20 of about 74 (73)
Journal of MathematicsIn this article, by using the fixed point index theory, we investigate the existence of positive solutions for Riemann–Liouville nabla fractional difference equations satisfying two distinct types of boundary conditions.
Jagan Mohan Jonnalagadda +1 more
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From Hardy to Rellich inequalities on graphs
Proceedings of the London Mathematical Society, Volume 122, Issue 3, Page 458-477, March 2021., 2021 Abstract We show how to deduce Rellich inequalities from Hardy inequalities on infinite graphs. Specifically, the obtained Rellich inequality gives an upper bound on a function by the Laplacian of the function in terms of weighted norms. These weights involve the Hardy weight and a function which satisfies an eikonal inequality.
Matthias Keller +2 more
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Homoclinic solutions of 2nth-order difference equations containing both advance and retardation
Open Mathematics, 2016 By using the critical point method, some new criteria are obtained for the existence and multiplicity of homoclinic solutions to a 2nth-order nonlinear difference equation.
Long Yuhua, Zhang Yuanbiao, Shi Haiping
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A New Algorithm for Solving Terminal Value Problems of q‐Difference Equations
Discrete Dynamics in Nature and Society, Volume 2018, Issue 1, 2018., 2018 We propose a new algorithm for solving the terminal value problems on a q‐difference equations. Through some transformations, the terminal value problems which contain the first‐ and second‐order delta‐derivatives have been changed into the corresponding initial value problems; then with the help of the methods developed by Liu and H.
Yong-Hong Fan +2 more
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Global attractivity in a genotype selection model
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 9, Page 537-544, 2002., 2002 We obtain a sufficient condition for the global attractivity of the genotype selection model yn+1=yneβn(12−yn−k)/(1−yn+yneβn(12−yn−k)), n ∈ ℕ. Our results improve the results established by Grove et al. (1994) and Kocić and Ladas (1993).
Xiaoping Li
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International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 3, Page 175-182, 2001., 2001 We consider the global existence and asymptotic behavior of solution of second‐order nonlinear impulsive differential equations.
Denghua Cheng, Jurang Yan
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Some discrete Poincaré‐type inequalities
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 7, Page 479-488, 2001., 2001 Some discrete analogue of Poincaré‐type integral inequalities involving many functions of many independent variables are established. These in turn can serve as generators of further interesting discrete inequalities.
Wing-Sum Cheung
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International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 4, Page 261-270, 2000., 2000 An open problem given by Kocic and Ladas in 1993 is generalized and considered. A sufficient condition is obtained for each solution to tend to the positive steady‐state solution of the systems of nonlinear Volterra difference equations of population models with diffusion and infinite delays by using the method of lower and upper solutions and monotone
B. Shi
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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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Open Mathematics, 2020 By using the bifurcation method, we study the existence of an S-shaped connected component in the set of positive solutions for discrete second-order Neumann boundary value problem.
Miao Liangying, Liu Jing, He Zhiqian
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