Lyapunov-Type Inequalities for Nonlinear Differential Systems

[1]  M. Aktas,et al.  Lyapunov-type inequalities for two classes of Dirichlet quasilinear systems , 2014 .

[2]  M. Aktas,et al.  LYAPUNOV-TYPE INEQUALITY FOR QUASILINEAR SYSTEMS WITH ANTI-PERIODIC BOUNDARY CONDITIONS , 2014 .

[3]  D. Çakmak On Lyapunov-type inequality for a class of quasilinear systems , 2014 .

[4]  Devrim Çakmak Lyapunov-type inequalities for two classes of nonlinear systems with anti-periodic boundary conditions , 2013, Appl. Math. Comput..

[5]  Kueiming Lo,et al.  Lyapunov-type inequality for n-dimensional quasilinear systems , 2013 .

[6]  Youyu Wang,et al.  Lyapunov-type inequalities for certain higher order differential equations with anti-periodic boundary conditions , 2012, Appl. Math. Lett..

[7]  Kazuo Takemura,et al.  Lyapunov-type inequalities for 2M th order equations under clamped-free boundary conditions , 2012 .

[8]  Mustafa Fahri Aktas,et al.  Lyapunov-type inequalities for a certain class of nonlinear systems , 2012, Comput. Math. Appl..

[9]  Xiaofei He,et al.  Lower bounds for generalized eigenvalues of the quasilinear systems , 2012 .

[10]  Mustafa Fahri Aktas,et al.  A note on Tang and He's paper , 2012, Appl. Math. Comput..

[11]  Meirong Zhang,et al.  Lyapunov-type inequalities for the first-order nonlinear Hamiltonian systems , 2011, Comput. Math. Appl..

[12]  Xiaoping Wang Lyapunov type inequalities for second-order half-linear differential equations , 2011 .

[13]  Xiaojing Yang,et al.  Lyapunov-type inequality for a class of quasilinear systems , 2011, Math. Comput. Model..

[14]  M. M. Rodrigues Lyapunov Inequalities for Nonlinear p-Laplacian Problems with Weight Functions , 2011 .

[15]  Devrim Çakmak,et al.  Lyapunov-type inequality for a class of Dirichlet quasilinear systems involving the (p1,p2,…,pn)-Laplacian , 2010 .

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

[17]  Aydin Tiryaki,et al.  On Lyapunov-type inequality for quasilinear systems , 2010, Appl. Math. Comput..

[18]  Xiaoping Wang,et al.  Stability criteria for linear periodic Hamiltonian systems , 2010 .

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

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

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

[22]  Shapour Heidarkhani,et al.  Existence of three solutions for a class of Dirichlet quasilinear elliptic systems involving the (p1,…,pn) -Laplacian , 2009 .

[23]  Julián Fernández Bonder,et al.  Precise asymptotic of eigenvalues of resonant quasilinear systems , 2008, 0811.1542.

[24]  Julián Fernández Bonder,et al.  Estimates for eigenvalues of quasilinear elliptic systems. Part II , 2008 .

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

[26]  J. P. Pinasco The Asymptotic Behavior of Nonlinear Eigenvalues , 2007 .

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

[28]  Juan Pablo Pinasco Comparison of eigenvalues for the p-Laplacian with integral inequalities , 2006, Appl. Math. Comput..

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

[30]  On the asymptotic behavior of eigenvalues of the radial p-laplacian , 2005 .

[31]  Evans M. Harrell Geometric lower bounds for the spectrum of elliptic PDEs with Dirichlet conditions in part , 2004 .

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

[33]  Juan Pablo Pinasco Lower bounds for eigenvalues of the one-dimensional $p$-Laplacian , 2004 .

[34]  M. Belloni,et al.  Isoperimetric inequalities, Wulff shape and related questions for strongly nonlinear elliptic operators , 2003 .

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

[36]  Ravi P. Agarwal,et al.  Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations , 2002 .

[37]  O. Chakrone,et al.  Spectrum of one dimensional p-Laplacian operator with indefinite weight , 2002 .

[38]  T. Bhattacharya A proof of the Faber-Krahn inequality for the first eigenvalue of thep-Laplacian , 1999 .

[39]  Pavel Drábek,et al.  On the closed solution to some nonhomogeneous eigenvalue problems with $p$-Laplacian , 1999, Differential and Integral Equations.

[40]  Pavel Drábek,et al.  The Fredholm alternative at the first eigenvalue for the one-dimensional p-Laplacian , 1998 .

[41]  W. Walter,et al.  Sturm-Liouville theory for the radial p -operator , 1998 .

[42]  Wolfgang Walter,et al.  Sturm-Liouville theory for the radial $\Delta_p$-operator , 1998 .

[43]  Takaŝi Kusano,et al.  On a class of second order quasilinear ordinary differential equations , 1995 .

[44]  Laurent Veron,et al.  Bifurcation phenomena associated to the p-Laplace operator , 1988 .

[45]  J.-L. Lions,et al.  Simplicit'e et isolation de la premi`ere valeur propre du p-Laplacien avec poids , 1987 .

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

[47]  M. G. Krein,et al.  The Basic Propositions of the Theory of λ-Zones of Stability of a Canonical System of Linear Differential Equations with Periodic Coefficients , 1983 .

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

[49]  V. A. I︠A︡kubovich,et al.  Linear differential equations with periodic coefficients , 1975 .

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

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

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

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

[54]  Zeev Nehari Some eigenvalue estimates , 1959 .

[55]  A. Liapounoff,et al.  Probleme general de la stabilite du mouvement (AM-17) , 1948 .