Infinite Interval Problems Modeling Phenomena Which Arise in the Theory of Plasma and Electrical Potential Theory

Studies in Applied Mathematics

Volumn 111, Issue 3, 2003, Pages 339-358

  Agarwal, R P ^a   O'Regan, D ^b  

^a Florida Institute of Technology ^*  (United States)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY-VALUE PROBLEM; ELECTRICAL POTENTIAL; INFINITE INTERVAL; INTERVAL PROBLEM; PLASMA POTENTIAL; POTENTIAL THEORY; PROBLEM MODELS; SOLUTION APPROACH; THEORY OF PLASMA; UPPER AND LOWER SOLUTIONS;

BOUNDARY VALUE PROBLEMS;

EID: 0141525333     PISSN: 00222526     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9590.t01-1-00237     Document Type: Article

References (9)

1. L. H. THOMAS, The calculation of atomic fields, Proc. Comb. P. Soc. 23:542-548 (1927).
2. E. FERMI, Un methodo statistico par la determinazione di alcune proprietá dell' atoma, Rend Accad. Naz. del Lincei Cl. Sci. Fis. Mat. e Nat. 6:602-607 (1927).
3. M. GREGUS, On a special boundary value problem, Acta Mathematica Univ. Comenianae 40:161-168 (1982).
4. L. ERBE and K. SCHMITT, On radial solutions of some semilinear elliptic equations, Differential and Integral Equations 1:71-78 (1988).
5. R. P. AGARWAL and D. O'REGAN, Infinite Interval Problems for Differential, Difference and Integral Equations, Kluwer Academic Publishers, Dordrecht, 2001.
6. J. BAXLEY, Existence and uniqueness for nonlinear boundary value problems on infinite intervals, J. Math. Anal. Appl. 147:122-133 (1990).
7. J. W. BEBERNES and L. K. JACKSON, Infinite interval boundary value problems for y″ = f(x, y), Duke Math. J. 34:39-47 (1967).
8. D. O'REGAN, Theory of Singular Boundary Value Problems, World Scientific, Singapore, 1994.
9. H. LU and D. O'REGAN, A general existence theorem for positive solutions to singular second order ordinary and functional equations, Nonlinear Functional Analysis and Applications 15:1-13 (2000).