Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Mariella Cecchi"'
Publikováno v:
Advances in Difference Equations, Vol 2005, Iss 2, Pp 193-204 (2005)
Recessive and dominant solutions for the nonoscillatory half-linear difference equation are investigated. By using a uniqueness result for the zero-convergent solutions satisfying a suitable final condition, we prove that recessive solutions are the
Externí odkaz:
https://doaj.org/article/1eac26853e0f46eab76b47b8ef011469
Publikováno v:
Abstract and Applied Analysis, Vol 2004, Iss 4, Pp 271-283 (2004)
We study the existence of zero-convergent solutions for the second-order nonlinear difference equation Δ(anΦp(Δxn))=g(n,xn+1), where Φp(u)=|u|p−2u, p>1,{an} is a positive real sequence for n≥1, and g is a positive continuous function on ℕ×
Externí odkaz:
https://doaj.org/article/21b16f7b83f240cd825256679078d0aa
Publikováno v:
Electronic Journal of Differential Equations, Vol 1999, Iss 44, Pp 1-16 (1999)
In the noncompact interval $J=[a,infty )$ we consider a linear problem of the form $Lx=y,; x in S$, where $L$ is a first order differential operator, $y$ a locally summable function in $J$, and $S$ a subspace of the Fr'{e}chet space of the locally ab
Externí odkaz:
https://doaj.org/article/c553bc9ea5af4325beb3905b8323ce56
Publikováno v:
Abstract and Applied Analysis, Vol 2010 (2010)
We study necessary and sufficient conditions for the oscillation of the third-order nonlinear ordinary differential equation with damping term and deviating argument x‴(t)+q(t)x′(t)+r(t)f(x(φ(t)))=0. Motivated by the work of Kiguradze (1992), th
Externí odkaz:
https://doaj.org/article/34873465c50c4875be38d710941966fa
Publikováno v:
Boundary Value Problems, Vol 2010 (2010)
Equation with general nonhomogeneous Φ-Laplacian, including classical and singular Φ-Laplacian, is investigated. Necessary and sufficient conditions for the existence of nonoscillatory solutions satisfying certain asymptotic boundary conditions are
Externí odkaz:
https://doaj.org/article/c4942d149a844c5e8c3fa8ed30ddbac6
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 143:493-506
The oscillation of the nonlinear differential equationwhere Φ is an increasing odd homeomorphism, is considered when the weight b is not summable near infinity. We extend previous results, stated for equations with the classical p-Laplacian, by obta
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2013, Iss 12, Pp 1-14 (2013)
We discuss a new integral characterization of principal solutions for half-linear differential equations, introduced in the recent paper of S. Fisnarova and R. Marik, Nonlinear Anal. 74 (2011), 6427-6433. We study this characterization in the framewo
Publikováno v:
Computers & Mathematics with Applications. 64(7):2176-2184
Oscillation of second order difference equations with bounded phi-Laplacian is studied by comparing it with the discrete Emden–Fowler difference equation. Analogues and discrepancies in behavior of solutions of these equations are also presented an
Publikováno v:
Journal of Difference Equations and Applications. 18:815-831
Non-oscillatory solutions for second-order difference equations with generalized phi-Laplacian are studied. Solutions are classified according to the asymptotic behaviour as regular or extremal solutions. Their existence and possible coexistence are
Publikováno v:
Journal of Mathematical Analysis and Applications. 388(2):1130-1140
We study the higher order differential equations with a middle term(⁎)x(n)(t)+q(t)x(n−2)(t)+r(t)f(x(t))=0,n⩾3, as a perturbation of the linear equation(⁎⁎)y(n)(t)+q(t)y(n−2)=0. Using an iterative method, we show that for every solution y