Results 1 to 10 of about 10,432 (131)

A Note on Coincidence Degree Theory [PDF]

Abstract and Applied Analysis, 2012
The background of definition of coincidence degree is explained, and some of its basic properties are given.
Ali Sırma, Sebaheddin Ṣevgin
doaj   +4 more sources

Periodic solution of a bioeconomic fishery model by coincidence degree theory

Electronic Journal of Qualitative Theory of Differential Equations, 2023
In this article we use coincidence degree theory to study the existence of a positive periodic solutions to the following bioeconomic model in fishery dynamics \begin{equation*}\label{eq1.3} \begin{cases} \frac{dn}{dt} = n \left(r(t) \left(1-\frac{n ...
Satyam Srivastava, Seshadev Padhi, Alexander Domoshnitsky   +2 more
doaj   +3 more sources

Application of Mawhin's Coincidence Degree and Matrix Spectral Theory to a Delayed System [PDF]

Abstract and Applied Analysis, 2012
This paper gives an application of Mawhin’s coincidence degree and matrix spectral theory to a predator-prey model with M-predators and N-preys. The method is different from that used in the previous work.
Yong-Hui Xia, Xiang Gu, Patricia J. Y. Wong, Syed Abbas   +3 more
doaj   +5 more sources

Existence of solutions for a higher order Riemann–Liouville fractional differential equation by Mawhin's coincidence degree theory

Mathematical Methods in the Applied Sciences, 2023
In this paper, we investigate the existence of at least one solution to the following higher order Riemann–Liouville fractional differential equation with Riemann–Stieltjes integral boundary condition at resonance: by using Mawhin's coincidence degree theory.
Seshadev Padhi, Alexander Domoshnitsky, Satyam Narayan Srivastava   +2 more
exaly   +2 more sources

Existence, Uniqueness and Exponential Stability of Periodic Solution for Discrete-Time Delayed BAM Neural Networks Based on Coincidence Degree Theory and Graph Theoretic Method [PDF]

Mathematics, 2019
In this work, a general class of discrete time bidirectional associative memory (BAM) neural networks (NNs) is investigated. In this model, discrete and continuously distributed time delays are taken into account. By utilizing this novel method, which incorporates the approach of Kirchhoff’s matrix tree theorem in graph theory, Continuation theorem in ...
Grienggrai Rajchakit, Chuangxia Huang, Jehad Alzabut   +2 more
exaly   +3 more sources

Periodic solutions for complex-valued neural networks of neutral type by combining graph theory with coincidence degree theory [PDF]

Advances in Difference Equations, 2018
In this paper, by combining graph theory with coincidence degree theory as well as Lyapunov functional method, sufficient conditions to guarantee the existence and global exponential stability of periodic solutions of the complex-valued neural networks ...
Zhengqiu Zhang, Jinde Cao
doaj   +3 more sources

Existence of Solution for a Katugampola Fractional Differential Equation Using Coincidence Degree Theory

Mediterranean Journal of Mathematics
AbstractIn this paper, the authors study the existence of positive solutions to the fractional boundary value problem at resonance $$\begin{aligned} -(D^{\alpha ,\rho }_{a+}x)(t)= & {} f(t,x(t),D^{\alpha -1, \rho }_{a+}x(t)), \ \ t\in (a,b), \\ x(a)= & {} 0, \ \ x(b)=\int _{a}^{b} x(t){\text {d}}A(t), \end{aligned}$$
Seshadev Padhi, Smita Pati, Alexander Domoshnitsky   +2 more
exaly   +2 more sources

Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces

Journal of Differential Equations, 1972
and falls in the scope of fixed point theory for the Hammerstein operators, i.e., operators which can be written KN with K : Z-+ X linear. References to works devoted to this theory can be found in the extensive bibliography given in the survey papers of Dolph and Minty [l] and of Ehrmann [2].
J Mawhin
exaly   +3 more sources

Existence of solutions by coincidence degree theory for Hadamard fractionaldifferential equations at resonance

Turkish Journal of Mathematics
Using the coincidence degree theory of Mawhin and constructing appropriate operators, we investigate the existence of solutions to Hadamard fractional differential equations (FRDEs) at resonance { − (HDγu ) (t) = f(t, u(t)), t ∈ (1, e), u(1) = 0, u(e) = ∫ e 1 u(t)dA(t), where 1 < γ < 2, f : [1, e]×R2 → R satisfies Carathéodory conditions, ∫ e 1 u(
Martin Bohner
exaly   +3 more sources

On the existence of sulutions of the equationLx∞Nxand a coincidence degree theory [PDF]

Journal of the Australian Mathematical Society, 1979
The coincidence degree for the pair (L, N) developed by Mawhin (1972) provides a method for proving the existence of solutions of the equationLx = NxwhereL: domL⊂X→Zis a linear Fredholm mapping of index zero andis a (possiblv nonlinear) mapping and Ω is a bounded open subset ofX, XandZbeing normed linear spaces over the reals.
Tarafdar E., Teo S.K.
openaire   +4 more sources