2022
DOI: 10.3934/math.2022582
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Existence and uniqueness criteria for nonlinear quantum difference equations with $ p $-Laplacian

Abstract: <abstract><p>Q-calculus plays an extremely important role in mathematics and physics, especially in quantum physics, spectral analysis and dynamical systems. In recent years, many scholars are committed to the research of nonlinear quantum difference equations. However, there are few works about the nonlinear $ q- $difference equations with $ p $-Laplacian. In this paper, we investigate the solvability for nonlinear second-order quantum difference equation boundary value problem with one-dimensiona… Show more

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Cited by 2 publications
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“…Compared with classical q-calculus, fractional q-calculus can more accurately describe some phenomena in nature, and many practical problems can be abstracted into fractional q-difference equations or a system of fractional q-difference equations by mathematical modeling. In recent years, abundant theoretical achievements have been made in the research of boundary value problems (BVPs) for fractional qdifference equations, according to the literature [7][8][9][10][11][12][13][14][15][16] and the references therein.…”
Section: Introductionmentioning
confidence: 99%
“…Compared with classical q-calculus, fractional q-calculus can more accurately describe some phenomena in nature, and many practical problems can be abstracted into fractional q-difference equations or a system of fractional q-difference equations by mathematical modeling. In recent years, abundant theoretical achievements have been made in the research of boundary value problems (BVPs) for fractional qdifference equations, according to the literature [7][8][9][10][11][12][13][14][15][16] and the references therein.…”
Section: Introductionmentioning
confidence: 99%