On Hilbert Functions of Points in Projective Space and Structure of Graded Modules
In this paper, we investigate the relationship between the Hilbert functions and the associated properties of the graded modules. To attain this, we construct the graded modules from the sets of points in projective space, $\mathbb{P}_k^n$ .
Mgani, Damas Karmel, Mwanzalima, Makungu
core
Combined system of additive functional equations in Banach algebras
In this study, we solve the system of additive functional equations: h(x+y)=h(x)+h(y),g(x+y)=f(x)+f(y),2fx+y2=g(x)+g(y),\left\{\begin{array}{l}h\left(x+y)=h\left(x)+h(y),\\ g\left(x+y)=f\left(x)+f(y),\\ 2f\left(\frac{x+y}{2}\right)=g\left(x)+g(y),\end ...
Donganont Siriluk, Park Choonkil
doaj +1 more source
Stability of some generalized fractional differential equations in the sense of Ulam-Hyers-Rassias. [PDF]
Makhlouf AB +4 more
europepmc +1 more source
In this work, we introduce the notions of (s, p, α)-quasi-contractions and (s, p)-weak contractions and deduce some fixed point results concerning such contractions, in the setting of b-metric-like spaces.
Zoto Kastriot +2 more
doaj +1 more source
Existence of solutions for quasilinear random impulsive neutral differential evolution equation
This paper deals with the existence of solutions for quasilinear random impulsive neutral functional differential evolution equation in Banach spaces and the results are derived by using the analytic semigroup theory, fractional powers of operators and ...
B. Radhakrishnan, M. Tamilarasi
doaj +1 more source
Existence of Classical Solutions for Nonlinear Elliptic Equations with Gradient Terms. [PDF]
Li Y, Ma W.
europepmc +1 more source
Fixed point results for contractions of polynomial type
We introduce two new classes of single-valued contractions of polynomial type defined on a metric space. For the first one, called the class of polynomial contractions, we establish two fixed point theorems.
Jleli Mohamed +2 more
doaj +1 more source
Variations of generalized weak contractions in partially ordered b-metric space. [PDF]
Rao NS, Kalyani K.
europepmc +1 more source
Fixed point results of weakly contraction mappings in partially ordered b-metric spaces. [PDF]
Kalyani K, Seshagiri Rao N.
europepmc +1 more source
The Solvability of the Discrete Boundary Value Problem on the Half-Line. [PDF]
Nockowska-Rosiak M.
europepmc +1 more source

