Oscillation and nonoscillation of solutions to even order self-adjoint differential equations.
Oscillation and non-oscillation of some neutral differential equations of odd order.
Oscillation and nonoscillation of two terms linear and half-linear equations of higher order.
Oscillation and nonoscillation theorems for a class of even-order quasilinear functional differential equations.
Oscillation and spectral properties of self-adjoint even order differential operators with middle terms.
Oscillation behavior of a class of second-order dynamic equations with damping on time scales.
Oscillation behaviour of solutions of neutral delay differential equations
Oscillation conditions for first-order nonlinear advanced differential equations
Our purpose is to analyze a first order nonlinear differential equation with advanced arguments. Then, some sufficient conditions for the oscillatory solutions of this equation are presented. Our results essentially improve two conditions in the paper “Oscillation tests for nonlinear differential equations with several nonmonotone advanced arguments” by N. Kilıç, Ö. Öcalan and U. M. Özkan. Also we give an example to illustrate our results.
Oscillation criteria based on a new weighted function for linear matrix Hamiltonian systems.
Oscillation criteria for a certain class of second order Emden-Fowler dynamic equations.
Oscillation criteria for a class of nonlinear differential equations of third order
Oscillation criteria are obtained for nonlinear homogeneous third order differential equations of the form and y”’ + q(t)y’ + p(t)f(y) = 0, where p and q are real-valued continuous functions on [a,∞), f is a real-valued continuous function on (-∞, ∞) and α > 0 is a quotient of odd integers. Sign restrictions are imposed on p(t) and q(t). These results generalize some of the results obtained earlier in this direction.
Oscillation criteria for a class of second-order nonlinear differential equations with damping term.
Oscillation criteria for certain nonlinear fourth order equations.
Oscillation criteria for differential equation
Oscillation criteria for forced neutral differential equations
Oscillation criteria for forced nonlinear elliptic equations of arbitrary order
Oscillation criteria for fourth order half-linear differential equations
Criteria for oscillatory behavior of solutions of fourth order half-linear differential equations of the form where is a constant and is positive continuous function on , are given in terms of an increasing continuously differentiable function from to which satisfies .
Oscillation criteria for fourth-order linear differential equations
Oscillation criteria for impulsive dynamic equations on time scales.
Oscillation Criteria for Nonlinear Differential Equations of Second Order with Damping Term
2000 Mathematics Subject Classification: 34C10, 34C15.Some new criteria for the oscillation of all solutions of second order differential equations of the form (d/dt)(r(t)ψ(x)|dx/dt|α−2(dx/dt))+ p(t)φ(|x|α−2x,r(t) ψ(x)|dx/dt|α−2(dx/dt))+q(t)|x|α−2 x=0, and the more general equation (d/dt)(r(t)ψ(x)|dx/dt|α−2(dx/dt))+p(t)φ(g(x),r(t) ψ(x)|dx/dt|α−2 (dx/dt))+q(t)g(x)=0, are established. our results generalize and extend some known oscillation criterain in the literature.