Oscillation and Nonoscillation Theorems for Certain Second-Order Difference Equations with Forcing Term
نویسندگان
چکیده
منابع مشابه
Oscillation theorems for second-order nonlinear delay difference equations
By means of Riccati transformation technique, we establish some new oscillation criteria for second-order nonlinear delay difference equation ∆(pn (∆xn) ) + qnf(xn−σ) = 0, n = 0, 1, 2, . . . ,
متن کاملOscillation and Nonoscillation Criteria for Second-order Linear Differential Equations
Sufficient conditions for oscillation and nonoscillation of second-order linear equations are established. 1. Statement of the Problem and Formulation of Basic Results Consider the differential equation u′′ + p(t)u = 0, (1) where p : [0, +∞[→ [0, +∞[ is an integrable function. By a solution of equation (1) is understood a function u : [0,+∞[→] − ∞, +∞[ which is locally absolutely continuous tog...
متن کاملOscillation and Nonoscillation of Forced Second Order Dynamic Equations
Oscillation and nonoscillation properties of second order Sturm–Liouville dynamic equations on time scales attracted much interest. These equations include, as special cases, second order self-adjoint differential equations as well as second order Sturm–Liouville difference equations. In this paper we consider a given (homogeneous) equation and a corresponding equation with forcing term. We giv...
متن کاملOn oscillation and nonoscillation of second-order dynamic equations
New oscillation and nonoscillation criteria are established for second order linear equations with damping and forcing terms. Examples are given to illustrate the results.
متن کاملOscillation Theorems for Second Order Nonlinear Neutral Type Difference Equations with Positive and Negative Coefficients
In this paper, the authors using two inequalities and Ricatti type transformation obtained some new oscillation results for the second order nonlinear neutral type difference equations of the form ∆(an∆(xn + cnxn−k)) + pnf(xn+1−l)− qng(xn+1−m) = 0, and ∆(an∆(xn − cnxn−k)) + pnf(xn+1−l)− qng(xn+1−m) = 0. The obtained results improve, extend and generalize some of the known results. Further examp...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1997
ISSN: 0022-247X
DOI: 10.1006/jmaa.1997.5692