scholarly journals Solvability of the system of implicit generalized order complementarity problems

Filomat ◽  
2020 ◽  
Vol 34 (14) ◽  
pp. 4659-4668
Author(s):  
K. Mahalik ◽  
C. Nahak
Keyword(s):  
Topological Degree ◽  
Complementarity Problems ◽  
Vector Lattice ◽  
Existence Results ◽  
New Developments ◽  
Exceptional Family ◽  
Generalized Order

In this paper, we introduce the notion of exceptional family for the system of implicit generalized order complementarity problems in vector lattice. We present some alternative existence results of the solutions for the system of implicit generalized order complementarity problems via topological degree aspects. The new developments in this paper generalize and improve some known results in the literature.

scholarly journals Nonlinear Differential Equations Modeling the Antarctic Circumpolar Current

2021 ◽  
Vol 23 (4) ◽  
Author(s):  
Jifeng Chu ◽  
Kateryna Marynets
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Topological Degree ◽  
Antarctic Circumpolar Current ◽  
Fixed Point Theorems ◽  
Nonlinear Differential Equations ◽  
Existence Results ◽  
Circumpolar Current ◽  
The Antarctic

AbstractThe aim of this paper is to study one class of nonlinear differential equations, which model the Antarctic circumpolar current. We prove the existence results for such equations related to the geophysical relevant boundary conditions. First, based on the weighted eigenvalues and the theory of topological degree, we study the semilinear case. Secondly, the existence results for the sublinear and superlinear cases are proved by fixed point theorems.

scholarly journals Application of topological degree method in quantitative behavior of fractional differential equations

Filomat ◽  
2020 ◽  
Vol 34 (2) ◽  
pp. 421-432
Author(s):  
Rahman ur ◽  
Saeed Ahmad ◽  
Fazal Haq
Keyword(s):  
Differential Equation ◽  
Existence And Uniqueness ◽  
Topological Degree ◽  
Order Differential Equation ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Existence Results ◽  
Research Article ◽  
Fractional Differential ◽  
Topological Degree Method

In the present manuscript we incorporate fractional order Caputo derivative to study a class of non-integer order differential equation. For existence and uniqueness of solution some results from fixed point theory is on our disposal. The method used for exploring these existence results is topological degree method and some auxiliary conditions are developed for stability analysis. For further elaboration an illustrative example is provided in the last part of the research article.

scholarly journals Existence problems for homoclinic solutions

2002 ◽  
Vol 7 (1) ◽  
pp. 1-27 ◽  
Author(s):  
Cezar Avramescu
Keyword(s):  
Fixed Point ◽  
Topological Degree ◽  
Degree Theory ◽  
Existence Results ◽  
Fixed Point Method ◽  
Point Method ◽  
Homoclinic Solutions ◽  
Topological Degree Theory

The problemx˙=f(t,x), x(−∞)=x(+∞), wherex(±∞):=limt→±∞x(t)∈ℝn, is considered. Some existence results for this problem are established using the fixed point method and topological degree theory.

Sign in / Sign up

Export Citation Format

Share Document