Quasilinearization and multiple solutions of the emden-fowler type equation

Mathematical Modelling and Analysis

Volumn 10, Issue 1, 2005, Pages 41-50

  Yermachenko, I ^a   Sadyrbaev, F ^b  

^a DAUGAVPILS UNIVERSITY   (Latvia)

^b UNIVERSITY OF LATVIA   (Latvia)

Author keywords

I nonresonant linear part; I type solution; Quasi linear equation; Quasi linearization

Indexed keywords

EXISTENCE AND MULTIPLICITIES; MULTIPLE SOLUTIONS; NONRESONANT; QUASI LINEARIZATION; QUASI-LINEAR; QUASILINEAR PROBLEMS;

EID: 27844457616     PISSN: 13926292     EISSN: 16483510     Source Type: Journal    
DOI: 10.1080/13926292.2005.9637269     Document Type: Article

References (6)

1. Bernfeld, S., and Lakshmikantham, V., 1974. Introduction to Nonlinear Boundary Value Problems, New York:Academic Press.
2. Erbe, L. H., 1970. Nonlinear boundary value problems for second order differential equations. J. Differential Equations, 7:459–472.
3. Jackson, L. K., and Schrader, K. W., 1967. Comparison theorems for nonlinear differential equations. J. Differential Equations, 3:248–255.
4. Sadyrbaev, F., Yermachenko, I., and Lakshmikantham, V., 2004. Types of solutions and multiplicity results for two-point nonlinear boundary value problems. Fourth World Congress of Nonlinear Analysts WCNA-2004, Orlando, Florida, USA, June 30-July 7, 2004, Proceedings. 2004, Elsevier. (accepted for publication)
5. Yermachenko, I., and Reinfelds, A., 2004. Multiple solutions of Sturm-Liouville type boundary value problems. Proc. of the 5th Latvian Mathematical Conference, Daugavpils. 2004, Latvia. Acta Societatis Mathematicae Latviensis, No. 6, DU “Saule”, Daugavpils, 61, 2004
6. Yermachenko, I., and Sadyrbaev, F., Types of solutions of the second order Neumann problem:multiple solutions. Mathematics. Differential equations, (Univ. of Latvia, Institute of Math. and Comp. Sci.), 4, 5–21, 2004. (electr. version http://www.lumii.lv/sbornik1/Sbornik-2004-english.htm)