Results 11 to 20 of about 4,816,964 (328)

Generalizations of Browder's Degree Theory [PDF]

open access: yesTransactions of the American Mathematical Society, 1995
The starting point of this paper is the recent important work of F. E. Browder, who extended degree theory to operators of monotone type. The degree function of Browder is generalized to maps of the form T + f + G T + f + G , where T T is maximal monotone, f f is ...
Hu, Shouchuan, Papageorgiou, Nikolaos S.
openaire   +1 more source

Coupled systems with Ambrosetti-Prodi-type differential equations

open access: yesAIMS Mathematics, 2023
In this paper, we consider some boundary value problems composed by coupled systems of second-order differential equations with full nonlinearities and general functional boundary conditions verifying some monotone assumptions.
F. Minhós, F. Carapau, G. Rodrigues
doaj   +1 more source

Bifurcation Results for Periodic Third-Order Ambrosetti-Prodi-Type Problems

open access: yesAxioms, 2022
This paper presents sufficient conditions for the existence of a bifurcation point for nonlinear periodic third-order fully differential equations. In short, the main discussion on the parameter s about the existence, non-existence, or the multiplicity ...
Feliz Minhós, Nuno Oliveira
doaj   +1 more source

Well-Ordered and Non-Well-Ordered Lower and Upper Solutions for Periodic Planar Systems

open access: yesAdvanced Nonlinear Studies, 2021
The aim of this paper is to extend the theory of lower and upper solutions to the periodic problem associated with planar systems of differential equations.
Fonda Alessandro   +2 more
doaj   +1 more source

Coexistence of an unstirred chemostat model with B-D functional response by fixed point index theory

open access: yesJournal of Inequalities and Applications, 2016
This paper deals with an unstirred chemostat model with the Beddington-DeAngelis functional response. First, some prior estimates for positive solutions are proved by the maximum principle and the method of upper and lower solutions.
Xiao-zhou Feng   +2 more
doaj   +1 more source

Ninebrane structures [PDF]

open access: yes, 2015
String structures in degree four are associated with cancellation of anomalies of string theory in ten dimensions. Fivebrane structures in degree eight have recently been shown to be associated with cancellation of anomalies associated to the NS5-brane ...
Sati, Hisham
core   +1 more source

Degree Theory of Immersed Hypersurfaces [PDF]

open access: yesMemoirs of the American Mathematical Society, 2020
Complete revision. We've worked hard to make the text clearer and we hope the reader will notice the difference. Shorter and more conceptual proofs. The applications, we hope, are much clearer. In addition, we develop a new concept of "weakly smooth manifolds".
Rosenberg, Harold, Smith, Graham
openaire   +2 more sources

Shooting with degree theory: Analysis of some weighted poly-harmonic systems [PDF]

open access: yes, 2014
In this paper, the author establishes the existence of positive entire solutions to a general class of semilinear poly-harmonic systems, which includes equations and systems of the weighted Hardy--Littlewood--Sobolev type.
Villavert, John
core   +1 more source

Finite-time stability of equilibrium solutions for the inertial neural networks via the figure analysis method

open access: yesMathematical Biosciences and Engineering, 2023
The existence and finite-time stability (FTS) of equilibrium point (EP) for a kind of inertial neural networks (INNS) with varying-time delays is studied. Firstly, by adopting the degree theory and the maximum-valued method, a sufficient condition in the
Huaying Liao, Zhengqiu Zhang
doaj   +1 more source

Ambrosetti–Prodi Alternative for Coupled and Independent Systems of Second-Order Differential Equations

open access: yesMathematics, 2023
This paper deals with two types of systems of second-order differential equations with parameters: coupled systems with the boundary conditions of the Sturm–Liouville type and classical systems with Dirichlet boundary conditions.
Feliz Minhós, Gracino Rodrigues
doaj   +1 more source

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