Results 31 to 40 of about 530 (62)

Almost periodic solutions of Volterra difference systems

Demonstratio Mathematica, 2017
We study the existence of an almost periodic solution of discrete Volterra systems by means of fixed point theory. Using discrete variant of exponential dichotomy, we provide sufficient conditions for the existence of an almost periodic solution.
Koyuncuoglu Halis Can, Adıvar Murat
doaj   +1 more source

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
doaj   +1 more source

Characteristic Algebras of Fully Discrete Hyperbolic Type Equations

, 2005
The notion of the characteristic Lie algebra of the discrete hyperbolic type equation is introduced. An effective algorithm to compute the algebra for the equation given is suggested.
Habibullin, Ismagil
core   +2 more sources

A unified approach for novel estimates of inequalities via discrete fractional calculus techniques

Alexandria Engineering Journal, 2022
In this article, we introduce the discrete fractional sum equations and inequalities. Some new generalized Grüss type discrete fractional sum inequalities are developed. We employ a nabla or backward difference; we employ the Riemann-Liouville definition
Samaira Naz, Yu-Ming Chu
doaj  

A generalization of Ostrowski inequality on time scales for k points

, 2008
In this paper we first generalize the Ostrowski inequality on time scales for k points and then unify corresponding continuous and discrete versions. We also point out some particular Ostrowski type inequalities on time scales as special cases.Comment ...
Agarwal, Bohner, Bohner, Bohner, Bohner, Dragomir, Geng, Lakshmikantham, Liu, Liu, Mitrinović, Mitrinović, Quõc-Anh Ngô, Roman, Su, Wenjun Liu, Wong   +16 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
core  

Leitmann's direct method of optimization for absolute extrema of certain problems of the calculus of variations on time scales

, 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, Almeida, Atici, Atici, Bartosiewicz, Bohner, Bohner, Bohner, Carlson, Carlson, Carlson, Carlson, Delfim F.M. Torres, Ferreira, Ferreira, Gouveia, Leitmann, Leitmann, Leitmann, Leitmann, Leitmann, Leitmann, Malinowska, Martins, Silva, Torres, Wagener, Zhan   +27 more
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Some Hardy's inequalities on conformable fractional calculus

Demonstratio Mathematica
In 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, Saker Samir H., Ashry Gehad M., Zakarya Mohammed, Rezk Haytham M., Kenawy Mohammed R.   +5 more
doaj   +1 more source

Existence and uniqueness of positive solution for nonlinear difference equations involving p(k)-Laplacian operator

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper, we deal with the existence of at least one and of at least two positive solutions as well the uniqueness of a positive solution for an anisotropic discrete non-linear problem involving p(k)-Laplacian with Dirichlet boundary value ...
Moghadam Mohsen Khaleghi, Wieteska Renata   +1 more
doaj   +1 more source

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
core   +2 more sources