Results 161 to 170 of about 11,648,998 (193)

On Nonexistence of Kneser Solutions of Third-Order Neutral Delay Differential Equations

Applied Mathematics Letters, 2019
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Józef Dzurina, Irena Jadlovská, S R Grace   +2 more
exaly   +2 more sources

New Aspects for Non-Existence of Kneser Solutions of Neutral Differential Equations With Odd-Order [PDF]

Mathematics, 2020
Some new oscillatory and asymptotic properties of solutions of neutral differential equations with odd-order are established. Through the new results, we give sufficient conditions for the oscillation of all solutions of the studied equations, and this is an improvement of the relevant results. The efficiency of the obtained criteria is illustrated via
Dumitru Baleanu, Ali Muhib, Osama Moaaz
exaly   +3 more sources

Asymptotic Properties of Kneser Solutions to Nonlinear Second Order ODEs With Regularly Varying Coefficients

Applied Mathematics and Computation, 2016
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Jana Burkotová, Irena Rachůnková
exaly   +2 more sources

Nonoscillating Kneser Solutions of the Emden–Fawler Equation

Differential Equations, 2000
Here, the Emden-Fowler equation \[ u^{(n)}=(-1)^np(t)|u|^\lambda \text{sgn}u, \quad ...
openaire   +1 more source

Kneser's theorem for weak solutions of the Darboux problem in Banach spaces

Nonlinear Analysis: Theory, Methods & Applications, 1993
Let \(E\) be a weakly sequentially complete Banach space, \(B=\{z\in E;\| z\|\leq b\}\), \(D=[0,a_ 1]\times[0,a_ 2]\) and \(f:D\times B\to E\), a weakly-weakly continuous function such that \(\| f(x,y,z)\|\leq M\forall (x,y,z)\in D\times B\).
Bugajewski, Dariusz, Szufla, Staniśław
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Analytical and Numerical Approaches for Finding Functional Iterates and Roots

arXiv.org
We investigate solutions to the functional equation $f(f(x)) = e^x$, which can be interpreted as the problem of finding a half iterate of the exponential map.
Sanay Nesargi, Gregory Roudenko
semanticscholar   +1 more source

Blow-Up Kneser Solutions of Nonlinear Higher-Order Differential Equations

Differential Equations, 2001
A solution \( u : (0,\infty) \to \mathbb{R}\) to the differential equation \[ u^{(n)}= f(t,u,\dots, u^{(n-1)}),\qquad n \geq 2, \tag{*} \] where \( f : (0, \infty)\times \mathbb{R}^ n \to \mathbb{R}\) is continuous in \(x_1,\dots,x_n\) for almost all \(t \in (0,\infty)\) and measurable in \(t\) for all \((x_1,\dots, x_n) \in \mathbb{R}^n,\) \(f(t, 0 ...
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A construction method for the set of all solutions and Kneser's theorem for nonlinear operator equations

Analysis, 1984
The author considers a Volterra operator \(S: M\to C=C([0,T],E)\), where E is a Banach space and M is a subset of C and shows that the set L of all fixed points of S can be represented by an iteration formula using certain mappings defined by S. Under an asymptotic compactness hypothesis it is proved that L is nonempty, compact and if M is connected, L
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Strengthening of the kneser theorem on zeros of the solutions of the equation $$y'' + p(x)y = 0$$

Ukrainian Mathematical Journal, 1996
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Kneser's theorem for weak solutions of an mth-order ordinary differential equation in Banach spaces

Nonlinear Analysis: Theory, Methods & Applications, 1999
The author deals with the Cauchy problem \[ x^{(n)}= f(t,x), \quad x(0)=0, \quad x'(0)= \eta_1,\ldots, x^{(n-1)}(0)=\eta_{n-1}, \tag{*} \] where the function \(f:J\times B \to E\) is bounded and weakly-weakly continuous, \(J= [0,a]\) and \(B\) is a unit ball in the sequentially weakly complete Banach space \(E\).
openaire   +1 more source