Results 31 to 40 of about 546 (81)
Advances in Mathematical PhysicsMSC2020 Classification: 39A12, 39B62, 33B10, 26A48, 26A51.
Syeda Alishba Batool +4 more
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The generalized hypergeometric difference equation
Demonstratio Mathematica, 2018 A difference equation analogue of the generalized hypergeometric differential equation is defined, its contiguous relations are developed, and its relation to numerous well-known classical special functions are demonstrated.
Bohner Martin, Cuchta Tom
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, 2010 The fundamental problem of the calculus of variations on time scales concerns the minimization of a delta-integral over all trajectories satisfying given boundary conditions.
Agnieszka B. Malinowska +27 more
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Higher-Order Calculus of Variations on Time Scales
, 2007 We prove a version of the Euler-Lagrange equations for certain problems of the calculus of variations on time scales with higher-order delta derivatives.Comment: Corrected minor ...
FM Atici, M Bohner, M Bohner, R Hilscher
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Self-adjointness of perturbed bi-Laplacians on infinite graphs
, 2020 We give a sufficient condition for the essential self-adjointness of a perturbation of the square of the magnetic Laplacian on an infinite weighted graph. The main result is applicable to graphs whose degree function is not necessarily bounded.
Milatovic, Ognjen
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Lax forms of the $q$-Painlev\'e equations
, 2008 All $q$-Painlev\'e equations which are obtained from the $q$-analog of the sixth Painlev\'e equation are expressed in a Lax formalism. They are characterized by the data of the associated linear $q$-difference equations. The degeneration pattern from the
Birkhoff G D +4 more
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Existence of Bistable Waves in a Competitive Recursion System with Ricker Nonlinearity [PDF]
, 2013 Using an abstract scheme of monotone semiflows, the existence of bistable traveling wave solutions of a competitive recursion system with Ricker nonlinearity is established. The traveling wave solutions formulate the strong inter-specific actions between
Liu, Jie, Pan, Shuxia
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Some Hardy's inequalities on conformable fractional calculus
Demonstratio MathematicaIn this article, we will demonstrate some Hardy’s inequalities by utilizing Hölder inequality, integration by parts, and chain rule of the conformable fractional calculus.
AlNemer Ghada +5 more
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A General Backwards Calculus of Variations via Duality
, 2010 We prove Euler-Lagrange and natural boundary necessary optimality conditions for problems of the calculus of variations which are given by a composition of nabla integrals on an arbitrary time scale.
A.B. Malinowska +19 more
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Sturm-Liouville operators on time scales
, 2011 We establish the connection between Sturm-Liouville equations on time scales and Sturm--Liouville equations with measure-valued coefficients. Based on this connection we generalize several results for Sturm-Liouville equations on time scales which have ...
Atkinson F. +14 more
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