Boundedness and unboundedness of solutions of an -th order differential equation with delayed argument
Boundedness and vanishing of solutions for a forced delay dynamic equation.
Boundedness criteria for a class of second order nonlinear differential equations with delay
We consider certain class of second order nonlinear nonautonomous delay differential equations of the form and where , , , , , and are real valued functions which depend at most on the arguments displayed explicitly and is a positive constant. Different forms of the integral inequality method were used to investigate the boundedness of all solutions and their derivatives. Here, we do not require construction of the Lyapunov-Krasovski functional to establish our results. This work...
Boundedness of solutions for a Liénard equation with multiple deviating arguments.
Boundedness of solutions to a retarded Liénard equation.
Boundedness of Third-order Delay Differential Equations in which is not necessarily Differentiable
In this paper we study the boundedness of solutions of some third-order delay differential equation in which is not necessarily differentiable but satisfy a Routh–Hurwitz condition in a closed interval .
Bounds for the set of solutions of functional-differential equations
asymptotic equivalence for some functional equation of Volterra type.
-integrability test for discrete equations via multiple scale expansions.
Characteristic polynomial assignment for delay-differential systems via 2-D polynomial equations
Characterization of shadowing for linear autonomous delay differential equations
A well-known shadowing theorem for ordinary differential equations is generalized to delay differential equations. It is shown that a linear autonomous delay differential equation is shadowable if and only if its characteristic equation has no root on the imaginary axis. The proof is based on the decomposition theory of linear delay differential equations.
Chemotherapeutic effects on hematopoiesis: A mathematical model.
Classifications and existence of nonoscillatory solutions of second order nonlinear neutral differential equations
A class of neutral nonlinear differential equations is studied. Various classifications of their eventually positive solutions are given. Necessary and/or sufficient conditions are then derived for the existence of these eventually positive solutions. The derivations are based on two fixed point theorems as well as the method of successive approximations.
Closed form solutions of iterative functional differential equations.
Coincidence Degree And Rabinowitz's Bifurcation Theorem
Coincidence degree and Rabinowitz's bifurcation theorem.
Commutants of the Dunkl Operators in C(R)
2000 Mathematics Subject Classification: 44A35; 42A75; 47A16, 47L10, 47L80The Dunkl operators.* Supported by the Tunisian Research Foundation under 04/UR/15-02.
Comparison and oscillation theorems for second order differential equations
Comparison results for impulsive delay differential inequalities and equations.
Comparison theorems for deviated differential equations with property .