Results 41 to 50 of about 167,969 (59)
Some equinumerous pattern-avoiding classes of permutations
Discrete Mathematics & Theoretical Computer Science, 2005 Suppose that p,q,r,s are non-negative integers with m=p+q+r+s. The class X(p,q,r,s) of permutations that contain no pattern of the form αβγ where |α|=r, |γ|=s and β is any arrangement of {1,2,…,p}∪{m-q+1, m-q+2, …,m} is considered.
M. D. Atkinson
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Advances in Difference Equations, 2009 This paper considers a new class of additive neural networks where the neuron activations are modelled by discontinuous functions with nonlinear growth.
Wu Huaiqin, Li Yingwei
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Advances in Difference Equations, 2009 Planar linear discrete systems with constant coefficients and weak delay are considered. The characteristic equations of such systems are identical with those for the same systems but without delayed terms.
Khusainov DYa +2 more
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On the stability of third order differential equations
Журнал Белорусского государственного университета: Математика, информатика, 2019 In this paper, we study the problem of stability of the equilibrium of nonlinear ordinary differential equations by the method of semi-definite Lyapunov’s functions.
Boris S. Kalitine
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Generalized Gronwall-Bellman-type discrete inequalities and their applications
Journal of Inequalities and Applications, 2011 In this paper, some new nonlinear Gronwall-Bellman-type discrete inequalities are established, which can be used as a handy tool in the research of qualitative and quantitative properties of solutions of certain difference equations.
Meng Fanwei, Feng Qinghua, Zhang Yaoming
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Infinitely many solutions for class of Navier boundary (p,q)-biharmonic systems
Electronic Journal of Differential Equations, 2012 This article shows the existence and multiplicity of weak solutions for the (p,q)-biharmonic type system $$displaylines{ Delta(|Delta u|^{p-2}Delta u)=lambda F_u(x,u,v)quadhbox{in }Omega,cr Delta(|Delta v|^{q-2}Delta v)=lambda F_v(x,u,v)quadhbox{in ...
Mohammed Massar +2 more
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Hopf-type estimates for solutions to Hamilton-Jacobi equations with concave-convex initial data
Electronic Journal of Differential Equations, 2003 We consider the Cauchy problem for the Hamilton-Jacobi equations with concave-convex initial data. A Hopf-type formula for global Lipschitz solutions and estimates for viscosity solutions of this problem are obtained using techniques of multifunctions ...
Nguyen Huu Tho, Tran Duc Van
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Mxra8 is a receptor for multiple arthritogenic alphaviruses. [PDF]
Nature, 2018 Zhang R +13 more
europepmc +1 more source
Electronic Journal of Differential Equations, 2006 We study the existence of positive solutions for the boundary-value problem of the singular higher-order functional differential equation $$displaylines{ (L y^{(n-2)})(t)+h(t)f(t, y_t)=0, quad hbox{for } tin [0, 1],cr y^{(i)}(0) = 0, quad ...
Chuanzhi Bai, Qing Yang, Jing Ge
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Quadratic forms as Lyapunov functions in the study of stability of solutions to difference equations
Electronic Journal of Differential Equations, 2011 A system of linear autonomous difference equations $x(n+1)=Ax(n)$ is considered, where $xin mathbb{R}^k$, $A$ is a real nonsingular $kimes k$ matrix.
Alexander O. Ignatyev, Oleksiy Ignatyev
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