Publications

• (with D. Aharonov and M. Bohner) Discrete Sturm comparison theorems on finite and infinite intervals,
  J. Difference Equ. Appl., (2011), 1-9.    
• (with D. Aharonov) Singular Sturm comparison theorems,
  J. Math. Anal. Appl., 371 (2010), 759-763.    
• (with H. Gingold) Approximation of the Jacobi polynomials and the Racah coefficients,
  Rocky Mountain J. Math., 40 (2010), 849-872.
• Existence of global solutions of some ordinary differential equations,
  J. Math. Anal. Appl., 340(2008), 739-745.
• Qualitative analysis of a differential equation of Abel,
  Amer. Math. Monthly, 115(2008), 147-149.
• (with H. Gingold) On the approximation of Jacobi polynomials,
  Rocky Mountain J. Math., 37(2007), 159-184.
• (with H. Gingold) Critical points at infinity and blow up of solutions of autonomous polynomial differential systems,
  J. Math. Anal. Appl., 318(2006), 305-322.
• Singular eigenvalue problems for the equation y ⁽ⁿ⁾ + &lambda p(x) y = 0,
  Monatshefte fur Mathematik 142(2004), 205-225.
• Eventual disconjugacy of y ⁽ⁿ⁾ + &mu p(x) y = 0 for every &mu,
  Arch. Math. (Brno), 40(2004), 193-200.
• (with H. Gingold) A framework for asymptotic integration of differential systems,
  Asymptotic Analysis. 35(2003), 281-300.
• Rearrangement of a conditionally convergent series
  American Mathematical Monthly, 110(2003), 57.
• (with A. Pinkus) Non-linear eigenvalue problems for a class of ordinary differential equations ,
  Proceedings of the Royal Society of Edinburgh, 132A (2002), 1333-1359.
• (with A. Pinkus) Non-linear eigenvalue-eigenvector problems for STP matrices ,
  Proceedings of the Royal Society of Edinburgh, 132A (2002), 1307-1331.
• (with H. Gingold) A method of asymptotic integration of almost diagonal systems,
  Asymptotic Analysis 29(2002), 343-357.
• (with H. Gingold) Effects of varying nonlinearity and their singular perturbation flavour
  J. Math. Anal. Appl., 248(2000), 309-326.
  
• Bounds for solutions of a differential inequality
  Proc. Amer. Math. Soc., 128(2000), 475-484.     (ps)
• (with H. Gingold) More on asymptotic approximation and application for matrix differential equations
  J. Math. Anal. Appl., 230(1999), 97-111.
• (with A. Skerlik) On a conjecture about an integral criterion for oscillation
  Arch. Math. (Brno), 34(1998),393-399.     (ps)
• Integral means and Polya factorizations
  Proc. Amer. Math. Soc., 126(1998), no. 7, 2071-2075.
• `Disconjugacy' - a short article,
  Encyclopaedia of Mathematics, Supplement Volume I, p. 225-226.     (ps)
  
• (with H. Gingold) Asymptotic approximation for matrix differential equations and applications,
  Differential and Integral Equations, 10(1997), 137-152.     (ps)
• (with D. Aharonov and R. L. Devaney) The dynamics of a piecewise linear map and its smooth approximation,
  International J. of Bifurcation and Chaos, 7(1997), 351-372     (ps)
• (with H. Gingold) Oscillation and block diagonalization,
  J. Math. Anal. Appl., 199(1996), 202-212.
  
• (with H. Gingold) Oscillation of two-term differential equations through asymptotics,
  J. Math. Anal. Appl., 186(1994), 283-305.
  

Some old works

• Zeros of solutions and of Wronskians for the differential equation L_ny + p(x) y = 0,
  Trans. Amer. Math. Soc., 324(1991), 27-40.
• (with D. Aharonov) Parabolic fixed points, invariant curves and action-angle variables,
  Ergodic Theory and Dynamical systems, 10(1990), 231-245.
• (with D. Aharonov) Invariant curves around a parabolic fixed point at infinity,
  Ergodic Theory and Dynamical systems, 10(1990), 209-229.
• A classification of the solutions of a differential equation according to their behaviour at infinity, II
  Proc. Royal Soc. Edinburgh 100A(1985), 53-66.
• Comparison theorems for disfocality and disconjugacy of differential equations"
  SIAM J. Math. Anal., 15(1984), 922-931.
• Generalization of an inequality of Kiguradze,
  J. Math. Anal. Appl., 97 (1983), 277-290.
• (with K. Kreith) Nonlinear differential systems with monotone solutions
  Hiroshima Math. J., 10(1980), 553-556.
• Green's function for a non-disconjugate differential operator,
  J. Differential Equations, 37 (1980), 318-350.
• A classification of the solutions of a differential equation according to their asymptotic behaviour
  Proc. Royal Soc. Edinburgh 83A(1979), 25-38.
• Focal points for a linear differential equation whose coefficients are of constant signs,
  Trans. Amer. Math. Soc., 249 (1979), 187-202.
• Necessary conditions and sufficient conditions for disfocality and disconjugacy of a differential equation
  Pacific J. Math., 81(1979), 379-397.
• Oscillatory solutions and extremal points for linear differential equations
  Archive Rat. Mech. Anal., 71(1979), 177-198.
• Eigenvalue problems for the equation Ly + &lambda p(x) y = 0
  J. Differential equations, 29(1978), 28-57.
• Nonoscillation and eventual disconjugacy
  Proc. Amer. Math. Soc., 66(1977), 269-275.
• The extremal solutions of the equation Ly+p(x)y=0, II
  J. Math Anal. Appl., 55 (1976), 253-265.
• Nonoscillation theorems in convex sets,
  J. Math Anal. Appl., 52 (1975), 129-141.
• The extremal solutions of the equation Ly+p(x)y=0, I
  J. Math Anal. Appl., 50 (1975), 447-457.