Results 151 to 160 of about 7,794,861 (172)

Oscillation Criteria of the Leighton–Wintner‐Type and the Hille–Kneser‐Type for Linear Differential Equations With a Proportional Derivative Controller

Mathematical methods in the applied sciences
In this study, we investigated the oscillatory and nonoscillatory behavior of solutions to linear differential equations with proportional–derivative (PD) control.
Kazuki Ishibashi, M. Onitsuka
semanticscholar   +1 more source

Kneser-type oscillation theorems for second-order functional differential equations with unbounded neutral coefficients

Mathematica Slovaca
In this paper, we initiate the study of asymptotic and oscillatory properties of solutions to second-order functional differential equations with noncanonical operators and unbounded neutral coefficients, using a recent method of iteratively improved ...
I. Jadlovská, G. Chatzarakis, E. Tunç
semanticscholar   +1 more source

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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Numerical evidence of Kneser solutions and convergence of collocation applied to singular ODEs

2015
In the first chapter of the work, we give numerical evidence of Kneser solutions for second order ordinary differential equations with a singularity of the first kind on a semi infinite intervall. The main goal is to illustrate the existence theory of Kneser solutions and their asymptotic behavior In the second part of the work, we test the convergence
openaire   +1 more source

On the solutions of the second-order $ (p, q) $-difference equation with an application to the fixed-point theory

AIMS Mathematics
In this paper, we examined the existence and uniqueness of solutions to the second-order $ (p, q) $-difference equation with non-local boundary conditions by using the Banach fixed-point theorem.
Nihan Turan, M. Basarir, A. Şahin
semanticscholar   +1 more source

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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Generalization of the Kneser theorem on zeros of solutions of the equation y″ + p(t)y = 0

Ukrainian Mathematical Journal, 2007
We establish conditions for the oscillation of solutions of the equation y″ + p(t)Ay = 0 in a Banach space, where A is a bounded linear operator and p: ℝ+ → ℝ+ is a continuous function.
openaire   +1 more source

Strengthening of the Kneser theorem on zeros of solutions of the equation u″ + q(t)u = 0 using one functional equation

Ukrainian Mathematical Journal, 2011
We present conditions under which a linear homogeneous second-order equation is nonoscillatory on a semiaxis and conditions under which its solutions have infinitely many zeros.
openaire   +1 more source

ASYMPTOTIC PROPERTIES OF KNESER SOLUTIONS TO THIRD-ORDER DELAY DIFFERENTIAL EQUATIONS

Journal of Applied Analysis and Computation, 2022
Irena Jadlovská
exaly  

On the diameter of Kneser graphs

Discrete Mathematics, 2005
Mario Valencia-Pabon
exaly