Lyapunov type inequalities for second-order forced dynamic equations with mixed nonlinearities on time scales

[1]  Ravi P. Agarwal,et al.  Disconjugacy via Lyapunov and Vallée-Poussin type inequalities for forced differential equations , 2015, Appl. Math. Comput..

[2]  R. Agarwal,et al.  Lyapunov type inequalities for even order differential equations with mixed nonlinearities , 2015 .

[3]  Anna Torriero,et al.  Bounds for the global cyclicity index of a general network via weighted majorization , 2015 .

[4]  Agacik Zafer,et al.  Stability criteria for linear Hamiltonian systems under impulsive perturbations , 2011, Appl. Math. Comput..

[5]  Devrim Çakmak,et al.  Lyapunov-type integral inequalities for certain higher order differential equations , 2010, Appl. Math. Comput..

[6]  Xiaojing Yang,et al.  Lyapunov-type inequality for a class of even-order differential equations , 2010, Appl. Math. Comput..

[7]  A. Tiryaki,et al.  Recent Developments of Lyapunov-type Inequalities , 2010 .

[8]  M. Mariani,et al.  Distribution-valued weak solutions to a parabolic problem arising in financial mathematics , 2009 .

[9]  M. Ünal,et al.  Lyapunov-type Inequalities for Certain Nonlinear Systems on Time Scales , 2008 .

[10]  Aydin Tiryaki,et al.  A discrete analogue of Lyapunov-type inequalities for nonlinear systems , 2008, Comput. Math. Appl..

[11]  Ağacık Zafer,et al.  Stability criteria for linear periodic impulsive Hamiltonian systems , 2007 .

[12]  Devrim Çakmak,et al.  Lyapunov-type inequalities for nonlinear systems , 2007 .

[13]  Juan Pablo Pinasco,et al.  Estimates for eigenvalues of quasilinear elliptic systems , 2006 .

[14]  Zhan Zhou,et al.  Lyapunov inequality for linear Hamiltonian systems on time scales , 2005 .

[15]  Ondřej Došlý,et al.  Half-linear differential equations , 2005 .

[16]  Ravi P. Agarwal,et al.  Lyapunov and Wirtinger inequalities , 2004, Appl. Math. Lett..

[17]  Billur Kaymakçalan,et al.  Lyapunov inequalities for discrete linear Hamiltonian systems , 2003 .

[18]  Xiaojing Yang,et al.  On Liapunov-type inequality for certain higher-order differential equations , 2003, Appl. Math. Comput..

[19]  N. Parhi,et al.  Lyapunov-type inequality for higher-order differential equations , 2002 .

[20]  Martin Bohner,et al.  Lyapunov inequalities for time scales , 2002 .

[21]  A. Peterson,et al.  Dynamic Equations on Time Scales: An Introduction with Applications , 2001 .

[22]  A. Peterson,et al.  Dynamic Equations on Time Scales , 2001 .

[23]  N. Parhi,et al.  On Liapunov-Type Inequality for Third-Order Differential Equations☆ , 1999 .

[24]  B. G. Pachpatte,et al.  Lyapunov Type Integral Inequalities for Certain Differential Equations , 1997 .

[25]  D. Hinton,et al.  Opial’s inequality and oscillation of 2nd order equations , 1997 .

[26]  B. G. Pachpatte,et al.  On Lyapunov-Type Inequalities for Certain Higher Order Differential Equations , 1995 .

[27]  Josip Pečarić,et al.  Inequalities Involving Functions and Their Integrals and Derivatives , 1991 .

[28]  S. Hilger.  Analysis on Measure Chains — A Unified Approach to Continuous and Discrete Calculus , 1990 .

[29]  S. Cheng,et al.  A discrete analogue of the inequality of Lyapunov , 1983 .

[30]  Man Kam Kwong,et al.  On Lyapunov's inequality for disfocality , 1981 .

[31]  Á. Elbert,et al.  A half-linear second order differential equation , 1979 .

[32]  S. B. Eliason.  Lyapunov Inequalities and Bounds on Solutions of Certain Second Order Equations* , 1974, Canadian Mathematical Bulletin.

[33]  Stanley B. Eliason,et al.  Lyapunov Type Inequalities for Certain Second Order Functional Differential Equations , 1974 .

[34]  William T. Reid.  A matrix Liapunov inequality , 1970 .

[35]  Stanley B. Eliason,et al.  A Lyapunov Inequality for a Certain Second Order Non‐Linear Differential Equation , 1970 .

[36]  William T. Reid.  A matrix equation related to a non-oscillation criterion and Liapunov stability , 1965 .

[37]  P. Hartman.  Ordinary Differential Equations , 1965 .

[38]  Harry Hochstadt,et al.  A new proof of a stability estimate of Lyapunov , 1963 .

[39]  Zeev Nehari.  Some eigenvalue estimates , 1959 .

[40]  Aurel Wintner,et al.  ON THE NON-EXISTENCE OF CONJUGATE POINTS.* , 1951 .

[41]  Goran Borg.  On a Liapounoff Criterion of Stability , 1949 .

[42]  A. Beurling.  Un théorème sur les fonctions bornées et uniformément continues sur l’axe réel , 1945 .