Results 11 to 20 of about 4,153,672 (273)
On a nonlinear second-order difference equation
Journal of Inequalities and Applications, 2022 We study a nonlinear second-order difference equation which considerably extends some equations in the literature. Our main result shows that the difference equation is solvable in closed form. Some applications of the main result are also given.
Stevo Stević +3 more
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Multiparticle quasiexactly solvable difference equations [PDF]
Journal of Mathematical Physics, 2007 Several explicit examples of multiparticle quasiexactly solvable “discrete” quantum mechanical Hamiltonians are derived by deforming the well-known exactly solvable multiparticle Hamiltonians, the Ruijsenaars-Schneider-van Diejen systems. These are difference analogs of the quasiexactly solvable multiparticle systems, the quantum Inozemtsev systems ...
Odake, Satoru, Sasaki, Ryu
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Solvable Lie A-algebras. [PDF]
, 2011 A finite-dimensional Lie algebra $L$ over a field $F$ is called an $A$-algebra if all of its nilpotent subalgebras are abelian. This is analogous to the concept of an $A$-group: a finite group with the property that all of its Sylow subgroups are abelian.
Towers, David A., David A. Towers
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Solvable complemented Lie algebras. [PDF]
, 2012 In this paper a characterisation is given of solvable complemented Lie algebras. They decompose as a direct sum of abelian subalgebras and their ideals relate nicely to this decomposition.
Towers, David A.
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On a solvable class of nonlinear difference equations of fourth order
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We consider a class of nonlinear difference equations of the fourth order, which extends some equations in the literature. It is shown that the class of equations is solvable in closed form explaining theoretically, among other things, solvability of ...
Stevo Stevic +3 more
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Solvability of a class of hyperbolic-cosine-type difference equations
Advances in Difference Equations, 2020 We describe a method for constructing one of the basic classes of solvable hyperbolic-cosine-type difference equations, generalizing a known difference equation by Laplace in a natural way.
Stevo Stević +3 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2019 We introduce notion of a generalized invariant for difference equations, which naturally generalizes notion of an invariant for the equations. Some motivations, basic examples and methods for application of invariants in the theory of solvability of ...
Stevo Stevic
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Solvability of a one-parameter class of nonlinear second-order difference equations by invariants
Advances in Difference Equations, 2019 By using an invariant we show in an original and quite unexpected way that a one-parameter class of nonlinear second-order difference equations is solvable in closed form, improving and theoretically explaining a recent result in the literature.
Stevo Stević
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Non-Solvable Equation Systems with Graphs Embedded in Rn [PDF]
, 2013 Different from the homogenous systems, a Smarandache system is a contra- dictory system in which an axiom behaves in at least two different ways within the same system, i.e., validated and invalided, or only invalided but in multiple distinct ...
Mao, Linfan
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Electronic Journal of Qualitative Theory of Differential Equations, 2014 Well-defined solutions of the bilinear difference equation are represented in terms of generalized Fibonacci sequences and the initial value. Our results extend and give natural explanations of some recent results in the literature.
Stevo Stevic
doaj +1 more source