Multiple solutions and bifurcation
Infinitely Many Solutions of Strongly Indefinite Semilinear Elliptic Systems
... Heinz, “Existence and gap-bifurcation of multiple solutions to certain nonlinear eigenvalue problems,” Nonlinear Analysis: Theory, Methods & Applications , vol. Yang, “Multiple solut[r] ...
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Superlinear gradient system with a parameter
... [], multiple solutions have been obtained by combining bifurcation methods, Morse theory and homological linking when is a saddle point in the sense that the parameter λ is very close to a higher ...
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Numerical and approximate solutions to problems in spontaneous ignition : a thesis presented in partial fulfilment of the requirements for the degree of Master of Philosophy in Mathematics at Massey University
... For "A greater than A-tr, a fold bifurcation point occurs at U = Ucr· When "A is greater than "Atr, there are multiple solutions and the system is able to migrate to the upper branch fro[r] ...
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Reduced description of exact coherent states in parallel shear flows
... ˆx is a unit vector in the x direction. Moreover, stress-free rather than no-slip conditions are imposed along stationary boundaries located at y = ± 1. This flow was suggested by Waleffe [2] as an alternative to PCF ...
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Localised auxin peaks in concentration based transport models for plants
... In the presence of diffusion we can not directly apply the formula (6.4), even for regular cellular arrays: owing to diffusion, cells in I will also deviate from the homogeneous state, hence peaks and dips are not ...
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Qualitative Analysis of a Predator prey Model with Weak Allee Effect
... Also, we found that system has no non-constant positive solution when the diffusion coefficients meeting cer- tain conditions. Finally, we establish the existence of positive solutions to the system mainly using ...
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LYAPUNOV-SCHMIDT REDUCTION IN THE STUDY OF PERIODIC TRAVELLING WAVE SOLUTIONS OF NONLINEAR DISPERSIVE LONG WAVE EQUATION
... the bifurcation of periodic travelling wave solutions of nonlinear dispersive long wave equation by using Lyapunov-Schmidt ...regular solutions for the reduced equation corresponding to the main ...
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The Nonzero Solutions and Multiple Solutions for a Class of Bilinear Variational Inequalities
... nonzero solutions and multiple solutions for the following class of bilinear variational inequalities in reflexive Banach spaces by fixed point index approach, which has been applied intensively to ...
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Bifurcation Analysis for a Delayed Predator-Prey System with Stage Structure
... A delayed predator-prey system with stage structure is investigated. The existence and stability of equilibria are obtained. An explicit algorithm for determining the direction of the Hopf bifurcation and the ...
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Positive Periodic Solutions of Second Order Functional Differential Equation with Impulses
... [16] L. Debanth, “Recents applications of fractional calculus to science and engineering, ” Int. J. Math. Appl. Sci., vol. 54, pp. 3413-3442, 2003. [17] D. Lan, W. Chen, “Periodic solutions for P-Laplacian ...
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In Plane Elastic Stability of Arches under a Radial Concentrated Load
... 3) Based on force methods, the primary eigenfunction equation is derived and solved, and the approximate analytical solutions of critical instability loads are obtained. The buckling load increases with loading ...
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Steady-state solutions of a mass-conserving bistable equation with a saturating flux
... to (2.1) with n points of inflection in (0, L ). However, we point out that unlike the situation in the (semilinear) Rubinstein–Sternberg equation [3], there is no obvious way to deduce the behaviour of a particular ...
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Nontrivial Solutions of the Asymmetric Beam System with Jumping Nonlinear Terms
... nontrivial solutions, by using degree theory and critical point theory, ...the multiple nontrivial solutions of the ...nontrivial solutions of problem ...
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Snakes and ladders in an inhomogeneous neural field model
... The analytical methods presented in this paper could be useful in the future to study time-periodic spatially-localized structures (often termed oscillons). A simple mechanism to obtain oscillatory instabilities in ...
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Multiplicity of periodic solutions in bistable equations
... periodic solutions of (4). We also show that for small β the bifurcation of the zero-mean solution is a subcritical pitchfork (figure 2(a)) which means that the maximum number of solutions is ...
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A fitted operator method for tumor cells dynamics in their micro-environment
... Therefore, our first aim in this paper is to investigate how the uniform time delay τ affects the dynamics of the models in equation (4). By applying the Poincar ´ e normal form and the center manifold theorem as in [16] ...
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Positive solutions for a class of sublinear elliptic systems
... The rest of the paper is arranged as follows. In Section , we recall some basic knowl- edges on the maximum principle of cooperative systems as well as the eigenvalues of co- operative matrices. Finally in Section , we ...
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Multiple Solutions for a Class of Laplacian Systems
... In recent years, the differential equations and variational problems with px-growth conditions have been studied extensively; see for example 3–6. In 7, De Figueiredo and Ding discussed the multiple ...
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Multiple solutions to impulsive differential equations
... Multiple solutions to impulsive differential equations Bao Advances in Difference Equations (2017) 2017 20 DOI 10 1186/s13662 017 1079 4 R E S E A R C H Open Access Multiple solutions to impulsive dif[.] ...
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DOA estimation using multiple measurement vector model with sparse solutions in linear array scenarios
... The proposed algorithm, which is based on row-sparse matrix recovery for DOA estimation problem, not only handles multiple measurements but also converges sig- nificantly faster in comparison to other conventional ...
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