More on a rational recurrence relation.
Motion of spiral-shaped polygonal curves by nonlinear crystalline motion with a rotating tip motion
We consider a motion of spiral-shaped piecewise linear curves governed by a crystalline curvature flow with a driving force and a tip motion which is a simple model of a step motion of a crystal surface. We extend our previous result on global existence of a spiral-shaped solution to a linear crystalline motion for a power type nonlinear crystalline motion with a given rotating tip motion. We show that self-intersection of the solution curves never occurs and also show that facet extinction never...
Multiple Laurent series and difference equations.
Multiple Laurent series and fundamental solutions of linear difference equations.
Multiple Lebesgue integration on time scales.
Multiple nonnegative solutions for BVPs of fourth-order difference equations.
Multiple periodic solutions for a discrete time model of plankton allelopathy.
Multiple periodic solutions for difference equations with double resonance at infinity.
Multiple periodic solutions of a discrete time predator-prey systems with type IV functional responses.
Multiple periodic solutions to nonlinear discrete Hamiltonian systems.
Multiple positive solutions in the sense of distributions of singular BVPs on time scales and an application to Emden-Fowler equations.
Multiple positive solutions of a nonlinear four-point singular boundary value problem with a -Laplacian operator on time scales.
Multiple positive solutions of singular discrete -Laplacian problems via variational methods.
Multiple solutions to a boundary value problem for an n-th order nonlinear difference equation.
Multiplicity and uniqueness for a class of discrete fractional boundary value problems
The paper deals with a class of discrete fractional boundary value problems. We construct the corresponding Green's function, analyse it in detail and establish several of its key properties. Then, by using the fixed point index theory, the existence of multiple positive solutions is obtained, and the uniqueness of the solution is proved by a new theorem on an ordered metric space established by M. Jleli, et al. (2012).
Multipoint boundary value problems for discrete equations
In this work we establish existence results for solutions to multipoint boundary value problems for second order difference equations with fully nonlinear boundary conditions involving two, three and four points. Our results are also applied to systems.
Multisommabilité des séries entières solutions formelles d’une équation aux -différences linéaire analytique
Nous introduisons une version -analogue du procédé d’accélération élémentaire d’Écalle-Martinet-Ramis et définissons la notion de série entière -multisommable. Nous montrons que toute série entière solution formelle d’une équation aux -différences linéaire analytique est -multisommable.
Multisummability for some classes of difference equations
This paper concerns difference equations where takes values in and is meromorphic in in a neighborhood of in and holomorphic in a neighborhood of 0 in . It is shown that under certain conditions on the linear part of , formal power series solutions in are multisummable. Moreover, it is shown that formal solutions may always be lifted to holomorphic solutions in upper and lower halfplanes, but in general these solutions are not uniquely determined by the formal solutions.