Results 11 to 20 of about 599 (78)
Existence and multiplicity of solutions for second-order Dirichlet problems with nonlinear impulses
Open Mathematics, 2022 We are concerned with Dirichlet problems of impulsive differential equations −u″(x)−λu(x)+g(x,u(x))+∑j=1pIj(u(x))δ(x−yj)=f(x)for a.e.x∈(0,π),u(0)=u(π)=0,\left\{\begin{array}{l}-{u}^{^{\prime\prime} }\left(x)-\lambda u\left(x)+g\left(x,u\left(x))+\mathop{\
Ma Mantang, Ma Ruyun
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, 2020 We consider nonlinearizable Sturm-Liouville problem indefinite weight function. We show the existence of two pairs of global continua emanating from the bifurcation intervals surrounding the principal eigenvalues of the corresponding linear problem and ...
Z. Aliyev, Leyla Nasirova
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Open Mathematics, 2022 In this article, we focus on the existence of positive solutions and establish a corresponding iterative scheme for a nonlinear fourth-order equation with indefinite weight and Neumann boundary conditions y(4)(x)+(k1+k2)y″(x)+k1k2y(x)=λh(x)f(y(x)),x∈[0,1]
Wang Jingjing, Gao Chenghua, He Xingyue
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Melnikov theory for weakly coupled nonlinear RLC circuits
Boundary Value Problems, 2014 We apply dynamical system methods and Melnikov theory to study small amplitude perturbation of some coupled implicit differential equations. In particular we show the persistence of such orbits connecting singularities in finite time provided a Melnikov ...
F. Battelli, Michal Feckan
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Impact of disease on a two-patch eco-epidemic model in presence of prey dispersal
Computational and Mathematical Biophysics, 2022 The present model is dealt with prey-predator interactions in two different patches where only prey species are allowed to disperse among the patches.
Saha Sangeeta, Samanta Guruprasad
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Nonautonomous Dynamical Systems, 2023 In this article, we consider an epidemiological model in which we take into account the effects of direct and indirect transmissions. The first mode occurs through direct contact between infectious and susceptible individuals, and the second one will ...
Najm Fatiha +4 more
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Accurate reduction of a model of circadian rhythms by delayed quasi steady state assumptions [PDF]
, 2013 Quasi steady state assumptions are often used to simplify complex systems of ordinary differential equations in modelling of biochemical processes. The simplified system is designed to have the same qualitative properties as the original system and to ...
Vejchodský, Tomáš
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The equivalence between singular point quantities and Liapunov constants on center manifold
Advances in Differential Equations, 2012 The algorithm of singular point quantities for an equilibrium of three-dimensional dynamics system is studied. The explicit algebraic equivalent relation between singular point quantities and Liapunov constants on center manifold is rigorously proved. As
Qinlong Wang, Wentao Huang
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Dynamics of an eco-epidemic model with Allee effect in prey and disease in predator
Computational and Mathematical Biophysics, 2023 In this work, the dynamics of a food chain model with disease in the predator and the Allee effect in the prey have been investigated. The model also incorporates a Holling type-III functional response, accounting for both disease transmission and ...
Kumar Bipin, Sinha Rajesh Kumar
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Prey-predator model in drainage system with migration and harvesting
Nonautonomous Dynamical Systems, 2021 In this paper, we consider a prey-predator model with a reserve region of predator where generalist predator cannot enter. Based on the intake capacity of food and other factors, we introduce the predator population which consumes the prey population ...
Roy Banani, Roy Sankar Kumar
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