Zobrazeno 1 - 10
of 23
pro vyhledávání: '"Nikolay D. Dimitrov"'
Publikováno v:
Opuscula Mathematica, Vol 44, Iss 2, Pp 167-195 (2024)
This article is devoted to deduce the expression of the Green's function related to a general constant coefficients fractional difference equation coupled to Dirichlet conditions. In this case, due to the points where some of the fractional operators
Externí odkaz:
https://doaj.org/article/79ecd4e1def94eb984343dbd36ad0597
Publikováno v:
Symmetry, Vol 16, Iss 10, p 1321 (2024)
In this paper, we examine a fourth-order equation that has parameter dependency and boundary conditions in three different places. We prove some of the features of the relevant asymmetric Green’s function and infer its exact form. The resulting sol
Externí odkaz:
https://doaj.org/article/c1d2fd26d61f4e4e859327910ca6645c
Publikováno v:
Fractal and Fractional, Vol 8, Iss 10, p 591 (2024)
In this paper, we study a class of nabla fractional difference equations with multipoint summation boundary conditions. We obtain the exact expression of the corresponding Green’s function and deduce some of its properties. Then, we impose some suf
Externí odkaz:
https://doaj.org/article/49a639167bb54dea963611fcd7eec4cc
Publikováno v:
Mathematics, Vol 12, Iss 16, p 2456 (2024)
In this paper, we consider a fourth-order three-point boundary value problem. Despite the fact that the corresponding Green’s function changes its sign on the square of its definition, we obtain the existence of at least one positive and decreasing
Externí odkaz:
https://doaj.org/article/5de6014460004344a587fd4dd855d750
Autor:
Alberto Cabada, Nikolay D. Dimitrov
Publikováno v:
Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-16 (2019)
Abstract This paper is concerned with the existence of solutions of an inverse discrete problem with sign-changing nonlinearity. This kind of problems includes, as a particular case, nth order difference equations coupled with suitable conditions on
Externí odkaz:
https://doaj.org/article/b49ed00eb67843a880bedadf2f2ff49e
Publikováno v:
Symmetry, Vol 13, Iss 6, p 1101 (2021)
In this article, we present a two-point boundary value problem with separated boundary conditions for a finite nabla fractional difference equation. First, we construct an associated Green’s function as a series of functions with the help of spectr
Externí odkaz:
https://doaj.org/article/b8a72a3b0e024f6784a03e91be450218
Publikováno v:
Open Mathematics. 20:1229-1245
In this article, we consider a discrete nonlinear third-order boundary value problem Δ 3 u ( k − 1 ) = λ a ( k ) f ( k , u ( k ) ) , k ∈ [ 1 , N − 2 ] Z , Δ 2 u ( η ) = α Δ u ( N − 1 ) , Δ u ( 0 ) = − β u ( 0 ) , u ( N ) = 0 , \left
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::de95189dbbac81c42f7a0ea6254c24cf
https://doi.org/10.1515/math-2022-0510
https://doi.org/10.1515/math-2022-0510
Autor:
Alberto Cabada, Nikolay D. Dimitrov
Publikováno v:
Open Mathematics, Vol 19, Iss 1, Pp 11-31 (2021)
In this paper, a third-order ordinary differential equation coupled to three-point boundary conditions is considered. The related Green’s function changes its sign on the square of definition. Despite this, we are able to deduce the existence of po
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f83dccce541e24e28ab43a4f75471ac2
https://doi.org/10.1515/math-2021-0007
https://doi.org/10.1515/math-2021-0007
Autor:
Nikolay D. Dimitrov, Alberto Cabada
Publikováno v:
Fractional Calculus and Applied Analysis. 23:980-995
In this paper, we introduce a two-point boundary value problem for a finite fractional difference equation with a perturbation term. By applying spectral theory, an associated Green’s function is constructed as a series of functions and some of its
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cb26b10e090656c7c2d2956e02f7c08c
https://doi.org/10.1515/fca-2020-0051
https://doi.org/10.1515/fca-2020-0051
Autor:
Nikolay D. Dimitrov, Stepan Tersian
Publikováno v:
Discrete & Continuous Dynamical Systems - B. 25:555-567
The aim of this paper is the study of existence of homoclinic solutions for a nonlinear difference equation involving \begin{document}$ p $\end{document} -Laplacian. Under suitable growth conditions we prove that the considered problem has at least o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::28164e75f6e1b677f17f0cd61f1cb0b7
https://doi.org/10.3934/dcdsb.2019254
https://doi.org/10.3934/dcdsb.2019254