Results 11 to 20 of about 9,017,418 (195)
Positive Periodic Solution for Second-Order Singular Semipositone Differential Equations [PDF]
Abstract and Applied Analysis, 2013 We study the existence of a positive periodic solution for second-order singular semipositone differential equation by a nonlinear alternative principle of Leray-Schauder.
Xiumei Xing
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Positive Almost Periodic Solution on a Nonlinear Differential Equation [PDF]
Mathematical Problems in Engineering, 2011 We study the following nonlinear equation dx(t)/dt = x(t)[a(t) − b(t)xα(t) − f(t, x(t))] + g(t), by using fixed point theorem, the sufficient conditions of the existence of a unique positive almost periodic solution for above system are obtained, by using the theories of stability, the sufficient conditions which guarantee the stability of the unique ...
Ni, Hua, Tian, Li-Xin, Liu, Xun
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Positive solutions for nonlinear periodic problems
Positivity, 2008 The paper studies the existence of positive solutions for the following nonlinear periodic problem with a nonsmooth potential \[ -(|x'(t)|^{p-2}x'(t))'\in \partial j(t,x(t))\quad \text{a.e. on} \;[0,b], \tag{1} \] \[ x(0)=x(b),\quad x'(0)=x'(b). \tag{2} \] Here \(b>0\), \(p>1\). In this problem the potential function \(j(t,x)\) is jointly measurable, \(
Filippakis, Michael +2 more
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Periodicity of the Positive Solutions of a Fuzzy Max-Difference Equation [PDF]
Abstract and Applied Analysis, 2014 We investigate the periodic nature of the positive solutions of the fuzzy max-difference equation xn+1=maxAn/xn-m,xn-k,n=0,1,…, where k,m∈{1,2,…}, An is a periodic sequence of fuzzy numbers, and x-d,x-d+1,…,x0 are positive fuzzy numbers with d=m,k.
Qiuli He +4 more
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Periodic solution for a delay integro-differential equation in biomathematics [PDF]
, 2003 Sufficient conditions for the existence and uniqueness of periodic solution of a delay integro-differential equation which arise in biomathematics are given.
Bica, Alexandru Mihai, Muresan, Sorin
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Monotonicity of the period and positive periodic solutions of a quasilinear equation
Bulletin of the London Mathematical Society, 2023 Abstract We investigate the monotonicity of the minimal period of periodic solutions of quasilinear differential equations involving the ‐Laplace operator. First, the monotonicity of the period is obtained as a function of a Hamiltonian energy in two cases. We extend to classical results due to Chow–Wang and Chicone for .
Jean Dolbeault +2 more
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Explicit error bounds for the α-quasi-periodic Helmholtz problem [PDF]
, 2013 This paper considers a finite element approach to modeling electromagnetic waves in a periodic diffraction grating. In particular, an a priori error estimate associated with the α-quasi-periodic transformation is derived.
Mulholland, Anthony +2 more
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Positive Periodic Solutions of an Epidemic Model with Seasonality [PDF]
The Scientific World Journal, 2013 An SEI autonomous model with logistic growth rate and its corresponding nonautonomous model are investigated. For the autonomous case, we give the attractive regions of equilibria and perform some numerical simulations. Basic demographic reproduction number Rd is obtained.
Sun, Gui-Quan +4 more
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Solution of Positive Periodic Discrete Lyapunov Equations with Applications to the Balancing of Periodic Systems. [PDF]
, 1997 The discrete-time positive periodic Lyapunov equations have important applications in the balancing and potentially also in the model reduction of discrete-time periodic systems.
A. Varga, Varga, A., Andreas Varga
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Existence of positive periodic solutions of an SEIR model with periodic coefficients [PDF]
Applications of Mathematics, 2012 The paper deals with the SEIR epidemic model \[ S'=\Lambda (t)-\beta (t)S\,I-\mu (t)S, \] \[ E'=\beta (t)S\,I-(\mu (t)+\varepsilon (t))\,E, \] \[ I'=\varepsilon (t)E-(\mu (t)+\alpha (t)+\gamma (t))\,I, \] \[ R'=\gamma (t)I-\mu (t)R, \] where \(\Lambda ,\alpha ,\beta ,\gamma ,\varepsilon ,\mu \) are positive \(T\)-periodic continuous functions.
Zhang, Tailei, Liu, Junli, Teng, Zhidong
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