Marco Vianello:
list of publications in Mathematical Analysis

2008

1. Asymptotic approximations for second-order linear difference equations in Banach algebras, II. J. Math. Anal. Appl. 340 (2008), 433--450 (with T. Solda`, R. Spigler).
   
   
2. Asymptotic approximations for second-order linear difference equations in Banach algebras, I. J. Math. Anal. Appl. 337 (2008), 1158--1170 (with T. Solda`, R. Spigler).
   
   

   2007

3. Liouville-Green asymptotic approximation for a class of matrix differential equations and semi-discretized partial differential equations. J. Math. Anal. Appl. 325 (2007), 69--89 (with R. Spigler).
   
   

   2006

4. Liouville-Green asymptotics for almost-diagonal second-order matrix differential equations. Asymptotic Analysis 48 (2006), 267--294 (with R. Spigler).
   
   

   2000

5. A variant of the complex Liouville-Green approximation theorem. Arch. Math. (Brno) 36 (2000), 213--218 (with R. Spigler).
   
   
6. Existence of positive continuous solutions of perturbed Hammerstein equations. Appl. Anal. 74 (2000), 429--438.
   
   
7. Constructive approximation for a class of perturbed Hammerstein integral equations. Nonlinear Anal. 41 (2000), Ser. A: Theory Methods, 177--185 (with A. Sommariva).
   
   

   1999

8. Constructive analysis of purely integral Boltzmann models. J. Integral Equations Appl. 11 (1999), 393--404 (with A. Sommariva).
   
   
9. On the complex differential equation Y"+G(z)Y=0 in Banach algebras. Stud. Appl. Math. 102 (1999), 291--308 (with R. Spigler).
   
   

   1997

10. A survey on the Liouville-Green (WKB) approximation for linear difference equations of the second order. Advances in difference equations (Veszprem, 1995), 567--577, Gordon and Breach, Amsterdam, 1997 (with R. Spigler).
    
    

    1996

11. Asymptotic representation for the Blumenthal-Nevai orthogonal polynomials in the essential spectrum. Methods Appl. Anal. 3 (1996), 457--475 (with R. Spigler).
    
    
12. WKB-type approximations for second-order differential equations in C*-algebras. Proc. Amer. Math. Soc. 124 (1996), 1763--1771 (with R. Spigler).
    
    

    1994

13. Discrete and continuous Liouville-Green-Olver approximations: a unified treatment via Volterra-Stieltjes integral equations. SIAM J. Math. Anal. 25 (1994), 720--732 (with R. Spigler).
    
    

    1993

14. Cesaro's theorems for complex sequences. J. Math. Anal. Appl. 180 (1993), 317--324 (with R. Spigler).
    
    
15. Abstract versions of L'Hopital's rule for holomorphic functions in the framework of complex B-modules. J. Math. Anal. Appl. 180 (1993), 17--28 (with R. Spigler).
    
    
16. Extending L'Hopital's theorem to B-modules. J. Math. Anal. Appl. 179 (1993), 638--645 (with R. Spigler).
    
    
17. Finite moments perturbations of y"=0 in Banach algebras. Proc. Amer. Math. Soc. 119 (1993), 97--103 (with R. Spigler).
    
    
18. A generalization of l'Hopital's rule via absolute continuity and Banach modules. Real Anal. Exchange 18 (1992/93), 557--567.
    
    

    1992

19. WKBJ-type approximation for finite moments perturbations of the differential equation y"=0 and the analogous difference equation. J. Math. Anal. Appl. 169 (1992), 437--452 (with R. Spigler).
    
    

    1991

20. Global existence and uniqueness for the Kummer transformation problem subject to non-Cauchy data. Differential Integral Equations 4 (1991), 991--1003 (with R. Spigler).
    
    

    1990

21. Approximating zeros of solutions of second-order linear ODEs by "phase function" methods. Asymptotic and computational analysis (Winnipeg, MB, 1989), 707--722, Lecture Notes in Pure and Appl. Math., 124, Dekker, New York, 1990 (with R. Spigler).