Uri Elias

Department of Mathematics, Technion-Israel Institute of Technology

"Oscillation theory of two-term differential equations"  

Springer, Mathematics and its Applications, Volume 396,   ISBN 978-94-017-2517-0

(formerly Kluwer Academic Publishers)

• Contents, Preface and Index pages of the book, its Reference list
• Order a copy from Springer.

מבוא למשואות דיפרנציאליות רגילות

הפקולטה למתמטיקה, הטכניון - מכון טכנולוגי לישראל

מהדורה שניה 2015

ספר לימוד של משואות דיפרנציאליות רגילות המיועד לסטודנטים להנדסה
מבוא ותוכן ענינים של הספר

משואות דיפרנציאליות רגילות לסטודנטים במתמטיקה

פרקים אלה נערכו על פי הרצאות במקצוע "משואות דיפרנציאליות א" בפקולטה למתמטיקה בטכניון.

מותר להעתיק ולהפיץ ספר זה בתנאי שישמש למטרות לימוד והוראה ויועתק במלואו ללא שינוי כלשהו. אין להשתמש בספר למטרות מסחריות.

איך להבריח את תלמידיך ולהשאר בלי עבודה? - עצות למתרגל מתחיל

Publications

• (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) 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.     (ps)
  
• (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   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.
• Minors of the Wronskian of the differential equation   L_ny + p(x)y = 0. II. Dominance of solutions.
  Proc. Royal Soc. Edinburgh 108A(1988), 229-239.
• Minors of the Wronskian of the differential equation   L_ny + 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.