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Displaying 221 – 240 of 355

Nonnegative point spectrum for differential equations with infinite delays

Ferreira, José M. (1981)

Portugaliae mathematica

Nonnegative solutions of a class of second order nonlinear differential equations

S. Staněk (1992)

Annales Polonici Mathematici

A differential equation of the form (q(t)k(u)u')' = λf(t)h(u)u' depending on the positive parameter λ is considered and nonnegative solutions u such that u(0) = 0, u(t) > 0 for t > 0 are studied. Some theorems about the existence, uniqueness and boundedness of solutions are given.

Nonnegative solutions to an integral equation and its applications to systems of boundary value problems.

Purnaras, Ioannis K. (2009)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Nonnegative solutions to superlinear problems of generalized Gelfand type.

O'Regan, Donal (1995)

Journal of Applied Mathematics and Stochastic Analysis

Nonnegativity of functionals corresponding to the second order half-linear differential equation

Robert Mařík (1999)

Archivum Mathematicum

In this paper we study extremal properties of functional associated with the half–linear second order differential equation E $_{p}$ . Necessary and sufficient condition for nonnegativity of this functional is given in two special cases: the first case is when both points are regular and the second is the case, when one end point is singular. The obtained results extend the theory of quadratic functionals.

Nonnegativity of the Cauchy matrix and exponential stability of a neutral type system of functional differential equations.

D. Bainov, A. Domoshnitsky (1993)

Extracta Mathematicae

Nonnegativity of uncertain polynomials.

Šiljak, Dragoslav D., Šiljak, Matija D. (1998)

Mathematical Problems in Engineering

Nonoscillation and asymptotic behaviour for third order nonlinear differential equations

Aydın Tiryaki, A. Okay Çelebi (1998)

Czechoslovak Mathematical Journal

In this paper we consider the equation $y^{'''} + q (t) {y^{'}}^{α} + p (t) h (y) = 0,$ where $p, q$ are real valued continuous functions on $[0, \infty)$ such that $q (t) \geq 0$ , $p (t) \geq 0$ and $h (y)$ is continuous in $(- \infty, \infty)$ such that $h (y) y > 0$ for $y \neq 0$ . We obtain sufficient conditions for solutions of the considered equation to be nonoscillatory. Furthermore, the asymptotic behaviour of these nonoscillatory solutions is studied.

Nonoscillation Criteria for a Class of Nonlinear Differential Equations of Third Order

Cemil Tunc (1997)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

Nonoscillation Criteria for Two-Dimensional Time-Scale Systems

Özkan Öztürk, Elvan Akın (2016)

Nonautonomous Dynamical Systems

We study the existence and nonexistence of nonoscillatory solutions of a two-dimensional systemof first-order dynamic equations on time scales. Our approach is based on the Knaster and Schauder fixed point theorems and some certain integral conditions. Examples are given to illustrate some of our main results.