The Experts below are selected from a list of 10683 Experts worldwide ranked by ideXlab platform
Gennaro Infante - One of the best experts on this subject based on the ideXlab platform.
-
new results for the liebau phenomenon via Fixed Point Index
Nonlinear Analysis-real World Applications, 2017Co-Authors: Jose Angel Cid, Gennaro Infante, Milan Tvrdý, Miroslawa ZimaAbstract:Abstract We prove new results regarding the existence of positive solutions for a nonlinear periodic boundary value problem related to the Liebau phenomenon. As a consequence we obtain new sufficient conditions for the existence of a pump in a simple model. Our methodology relies on the use of classical Fixed Point Index. Some examples are provided to illustrate our theory. We improve and complement previous results in the literature.
-
a positive Fixed Point theorem with applications to systems of hammerstein integral equations
arXiv: Classical Analysis and ODEs, 2014Co-Authors: Alberto Cabada, Jose Angel Cid, Gennaro InfanteAbstract:We present new criteria on the existence of Fixed Points that combine some monotonicity assumptions with the classical Fixed Point Index theory. As an illustrative application, we use our theoretical results to prove the existence of positive solutions for systems of nonlinear Hammerstein integral equations. An example is also presented to show the applicability of our results.
-
existence and localization of positive solutions for a nonlocal bvp arising in chemical reactor theory
Communications in Nonlinear Science and Numerical Simulation, 2014Co-Authors: Gennaro Infante, Paolamaria Pietramala, Mattia TenutaAbstract:Abstract We discuss the existence of positive solutions of a nonlocal boundary value problem that models a chemical tubular reactor. Our approach allows us to deal with a wide range of parameters, nonlocal conditions and to provide upper and lower bounds for the solutions. We make use of the theory of Fixed Point Index for compact maps. Some examples are presented to illustrate the theory.
-
a short course on positive solutions of systems of odes via Fixed Point Index
arXiv: Classical Analysis and ODEs, 2013Co-Authors: Gennaro InfanteAbstract:We shall firstly study the existence of one positive solution of a model problem for one equation via the classical Krasnosel'ski\u\i{} Fixed-Point theorem. Secondly we investigate how to handle this problem via the Fixed Point Index theory for compact maps. Thirdly we illustrate how this approach can be tailored in order to deal with non-trivial solutions for systems of ODEs subject to local BCs. The case of nonlocal and nonlinear BCs will also be investigated. Finally we present some applications to the existence of radial solutions of some systems of elliptic PDEs.
-
positive solutions for a class of nonlocal impulsive bvps via Fixed Point Index
Topological Methods in Nonlinear Analysis, 2010Co-Authors: Gennaro Infante, Paolamaria Pietramala, Miroslawa ZimaAbstract:We study the existence of positive solutions for perturbed impulsive integral equations. Our setting is quite general and covers a wide class of impulsive boundary value problems. We also study other cases that can be treated in a similar manner. The main ingredient in our theory is the classical Fixed Point Index theory for compact maps.
Beatriz Ychussie - One of the best experts on this subject based on the ideXlab platform.
-
retraction note sharp geometrical properties of a rarefied sets via Fixed Point Index for the schrodinger operator equations
Fixed Point Theory and Applications, 2015Co-Authors: Beatriz YchussieAbstract:In this paper, we use the theory of Fixed Point Index for the Schrodinger operator equations to obtain a geometrical property of a-rarefied sets at infinity on cones. Meanwhile, we give an example to show that the reverse of this property is not true.
-
sharp geometrical properties of a rarefied sets via Fixed Point Index for the schrodinger operator equations
Fixed Point Theory and Applications, 2015Co-Authors: Beatriz YchussieAbstract:In this paper, we use the theory of Fixed Point Index for the Schrodinger operator equations to obtain a geometrical property of a-rarefied sets at infinity on cones. Meanwhile, we give an example to show that the reverse of this property is not true.
Lishan Liu - One of the best experts on this subject based on the ideXlab platform.
-
the spectral analysis for a singular fractional differential equation with a signed measure
Applied Mathematics and Computation, 2015Co-Authors: Xinguang Zhang, Lishan Liu, Benchawan WiwatanapatapheeAbstract:In this paper, by using the spectral analysis of the relevant linear operator and Gelfand's formula, we obtain some properties of the first eigenvalue of a fractional differential equation. Based on these properties, the Fixed Point Index of the nonlinear operator is calculated explicitly and some sufficient conditions for the existence of positive solutions are established.
-
symmetric positive solutions to singular system with multi Point coupled boundary conditions
Applied Mathematics and Computation, 2013Co-Authors: Jiqiang Jiang, Lishan LiuAbstract:In this paper, we study the existence and multiplicity of symmetric positive solutions for a nonlinear system with multi-Point coupled boundary conditions. The arguments are based upon a specially constructed cone and the Fixed Point Index theorem in cones. An example is then given to demonstrate the applicability of our results.
-
multiple positive solutions of the singular boundary value problems for second order differential equations on the half line
Nonlinear Analysis-theory Methods & Applications, 2009Co-Authors: Lishan Liu, Zenggui WangAbstract:Abstract In this paper, the existence of multiple positive solutions for singular Sturm–Liouville boundary value problems on the half-line is investigated. By applying the Fixed Point Index theorem of cone map, some existence and multiplicity results of positive solutions are derived. Our results improve and generalize many well-known results. Two examples are presented to demonstrate the application of our main results.
-
positive solutions of nonlinear singular two Point boundary value problems for second order impulsive differential equations
Applied Mathematics and Computation, 2008Co-Authors: Lishan LiuAbstract:In this paper, we study the positive solutions of nonlinear singular two-Point boundary value problems for second-order impulsive differential equations. The existence of one or two positive solutions are established by using the Fixed Point Index theorem in cone.
Chuanxi Zhu - One of the best experts on this subject based on the ideXlab platform.
-
the Fixed Point Index of nonlinear operators in menger pn spaces
Mathematical Notes, 2011Co-Authors: Chuanxi ZhuAbstract:In the paper, the topological degree for a compact continuous operator defined on an open subset of a Menger PN-space is generalized. The new concept of Fixed-Point Index in Menger PN-spaces is introduced, themost important properties of the Fixed-Point Index are established, and some other results are given.
-
calculations of a random Fixed Point Index of a random semi closed 1 set contractive operator
Mathematical and Computer Modelling, 2010Co-Authors: Chuanxi Zhu, Jiandong YinAbstract:In this paper, we mainly investigate the calculation problems of a random Fixed Point Index and get some new results, part of which generalizes a previous result.
-
calculations of random Fixed Point Index
Journal of Mathematical Analysis and Applications, 2008Co-Authors: Chuanxi Zhu, Chunfang ChenAbstract:In this paper, we prove an important inequality and investigate some new calculating problems of random Fixed Point Index, and generalize famous theorem by means of the theory of random Fixed Point Index.
Wei Lin - One of the best experts on this subject based on the ideXlab platform.
-
steady state solutions of one dimensional competition models in an unstirred chemostat via the Fixed Point Index theory
Proceedings of The Royal Society A: Mathematical Physical and Engineering Sciences, 2021Co-Authors: K Q Lan, Wei LinAbstract:The existence and nonexistence of semi-trivial or coexistence steady-state solutions of one-dimensional competition models in an unstirred chemostat are studied by establishing new results on systems of Hammerstein integral equations via the classical Fixed Point Index theory. We provide three ranges for the two parameters involved in the competition models under which the models have no semi-trivial and coexistence steady-state solutions or have semi-trivial steady-state solutions but no coexistence steady-state solutions or have semi-trivial or coexistence steady-state solutions. It remains open to find the largest range for the two parameters under which the models have only coexistence steady-state solutions. We apply the new results on systems of Hammerstein integral equations to obtain results on steady-state solutions of systems of reaction-diffusion equations with general separated boundary conditions. Such type of results have not been studied in the literature. However, these results are very useful for studying the competition models in an unstirred chemostat. Our results on Hammerstein integral equations and differential equations generalize and improve some previous results.