- (with D. Aharonov) On singular Sturm theorems
arXiv:1303.0982 [math.CV]
- (with D. Aharonov) More on the identity of Chaundy and Bullard,
J. Math. Anal. Appl., 419 (2014), 422–427.
DOI: http://dx.doi.org/10.1016/j.jmaa.2014.04.025
- (with D. Aharonov) Univalence criteria depending on parameters,
Anal. Math. Phys., 4 (2014), 23-34.
DOI: http://dx.doi.org/10.1007/s13324-014-0076-y
- (with D. Aharonov) Sufficient conditions for univalence of analytic functions
arXiv:1303.0982 [math.CV]
- (with D. Aharonov) More Jordan type inequalities,
Math. Inequalities & Applications., 4 (2014), 1563–1577 .
DOI: http://dx.doi.org/10.7153/mia-17-115
- (with D. Aharonov) A binomial identity via differential equations,
Amer. Math. Monthly, 120 (2013), 462-466.
- (with D. Aharonov) Improved inequlities for trigonometric functions via Dirichlet and zeta functions,
Math. Inequalities & Applications, 3 (2013), 851-859.
- (with D. Aharonov) Convolution identities for zeta and related Dirichlet functions
“Sixty years of analytic functions in Lublin”, p. 149-156. Jan Szynal, editor, Innovatio Pres, Lublin, 2012.
- (with D. Aharonov and M. Bohner) Discrete Sturm comparison theorems on finite and infinite intervals,
J. Difference Equ. Appl., 18 (2012), 1763–1771.
- (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) + λ p(x) y = 0,
Monatshefte fur Mathematik 142(2004), 205-225.
- Eventual disconjugacy of y (n) + μ 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.
- (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.
- 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.
- (with H. Gingold) Asymptotic approximation for matrix differential equations and applications,
Differential and Integral Equations, 10(1997), 137-152.
- (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.
- Zeros of solutions and of Wronskians for the differential equation Lny + 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.
- Minors of the Wronskian of the differential equation Lny + p(x)y = 0. II. Dominance of solutions.
Proc. Royal Soc. Edinburgh 108A(1988), 229-239.
- Minors of the Wronskian of the differential equation Lny + p(x)y = 0.
Proc. Royal Soc. Edinburgh 106A(1987), 341-359
- 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 + λ 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.