Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Joan Hoffacker"'
Autor:
Joan Hoffacker, Douglas R. Anderson
Publikováno v:
Electronic Journal of Differential Equations, Vol 2007, Iss 107, Pp 1-15 (2007)
We are concerned with the existence and form of solutions to nonlinear third-order three-point and multi-point boundary-value problems on general time scales. Using the corresponding Green function, we prove the existence of at least one positive sol
Externí odkaz:
https://doaj.org/article/8a84b49e36a9414ea057de9887f1daf3
Autor:
Douglas R. Anderson, Joan Hoffacker
Publikováno v:
Electronic Journal of Differential Equations, Vol 2005, Iss 24, Pp 1-9 (2005)
Even order self adjoint differential time scale expressions are introduced, together with associated self adjoint boundary conditions; the result is established by induction. Several fourth-order nabla-delta delta-nabla examples are given for select
Externí odkaz:
https://doaj.org/article/15a32bb376464ae58a71d4a601854fb6
Publikováno v:
Ecology and Society, Vol 14, Iss 2, p 21 (2009)
West Nile Virus (WNV) made its initial appearance in the New York City (NYC) metropolitan area in 1999 and was implicated in cases of human encephalitis and the extensive mortality in crows (Corvus sp.) and other avian species. Mosquitoes were found
Externí odkaz:
https://doaj.org/article/208f767619994215bf1512116cbd0335
Autor:
Douglas R. Anderson, Joan Hoffacker
Publikováno v:
Journal of Difference Equations and Applications. 14:83-89
In this study, by employing the Krasnosel'skii fixed point theorem we investigate the existence of multiple positive periodic solutions for functional dynamic equations on time scales of the form where λ>0 is a parameter. Some general theorems are g
Autor:
Joan Hoffacker, Douglas R. Anderson
Publikováno v:
Journal of Mathematical Analysis and Applications. 323(2):958-973
We are concerned with the fourth-order nonuniform cantilever beam problem ( I ( x ) W Δ ∇ ( x ) ) Δ ∇ = f ( x , W ( x ) ) , W ( a ) = W Δ ( a ) = 0 , I ( b ) W Δ ∇ ( b ) = ( I ( x ) W Δ ∇ ( x ) ) Δ | x = b = 0 . Under various assumption
Autor:
Joan Hoffacker, Christopher C. Tisdell
Publikováno v:
Computers & Mathematics with Applications. 49(9-10):1327-1334
In this paper we examine the stability and instability of the equilibrium solution x = 0 to the first-order system of dynamic equations x^@D=f(t,x),t>=t"0,x@?D@?R^n,where t is from a so-called time scale T with t"0 @? Tand D is a compact set. Our met
Autor:
Douglas R. Anderson, Joan Hoffacker
Publikováno v:
Mathematical and Computer Modelling. 38(5-6):481-494
Existence criteria for two positive solutions to a nonlinear, even-order stacked delta-nabla boundary value problem with stacked, vanishing conditions at the two endpoints are found using the method of Green's functions. A few examples are given for
Autor:
Elvan Akin-Bohner, Joan Hoffacker
Publikováno v:
Journal of Difference Equations and Applications. 9:603-612
In this paper, we explore the oscillation properties of on a time scale T with only isolated points, where p(t) is defined on T and γ is a quotient of odd positive integers. We define oscillation in this setting, and generate conditions on the integ
Autor:
Joan Hoffacker
Publikováno v:
Computers & Mathematics with Applications. 45:1339-1368
The study of dynamic systems on time scales unifies continuous and discrete processes. In this paper, we shall examine Green's function for an n th-order focal boundary value problem. With this, we can then consider eigenvalue comparisons for higher-
Autor:
Elvan Akin-Bohner, Joan Hoffacker
Publikováno v:
The Journal of Difference Equations and Applications. 9:63-75
Dedicated to Allan Peterson on the occasion of his 60th birthday. In this paper, we explore the solution properties of u Δ 2 (t) + p(t)u γ(σ(t)) = 0 on a time scale 𝕋 with only isolated points, where p(t) is defined on 𝕋 and γ is a quotient