Results 21 to 30 of about 2,765 (249)
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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Pan-American Journal of Mathematics, 2023 A definition of system of two nonlinear difference equations with variable coefficients is given. Our main result shows that the difference equation is solvable in closed form and thus for the constant coefficients.
Ahmed Ghezal, Imane Zemmouri
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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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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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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
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On some classes of solvable difference equations related to iteration processes
Electronic Journal of Qualitative Theory of Differential Equations, 2023 We present several classes of nonlinear difference equations solvable in closed form, which can be obtained from some known iteration processes, and for some of them we give some generalizations by presenting methods for constructing them.
Stevo Stevic
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Electronic Journal of Qualitative Theory of Differential Equations, 2019 We present general solutions to four classes of nonlinear difference equations, as well as some representations of the general solutions for two of the classes in terms of specially chosen solutions to linear homogeneous difference equations with ...
Stevo Stevic
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