Uniqueness of solutions for a class of non-linear volterra integral equations without continuity

Applied Mathematics and Mechanics (English Edition)

Volumn 18, Issue 12, 1997, Pages 1191-1196

  Wei, Dong ^a  

^a North China Institute of Water Conservancy and Hydro Power   (China)

Author keywords

Increasing operator; Normal cone; Positive solution for integral equation

Indexed keywords

MATHEMATICAL TECHNIQUES; NONLINEAR EQUATIONS;

INCREASING OPERATOR; NORMAL CONE; POSITIVE SOLUTION;

INTEGRAL EQUATIONS;

EID: 0031293745     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00713721     Document Type: Article

References (7)

1. J. Goncerzewicz. H. Marcinkowska, W. Okrasinski and K. Tabisz, On the percolation of water from a cylindrical reservoir into the surrounding soil., Zastas. Mat., 16 (1978), 249-261.
2. J. J. Keller, Propagation of simple nonlinear waves in gas filled tubes with friction, Z. Angew. Math. Pliys.. 32 (1981), 170-181.
3. P. J. Bushell and W. Okrasinski, Non-linear Volterra equations with convolution kernel. J. London. Math. Soc., 41, 2 (1990), 503-510.
4. P. J. Bushell and W. Okrasinski, Uniqueness of solutions for a class of non-linear Volterra integral equations with convolution kernel, Math. Proc. Camb. Phil. Soc., 106 (1989), 547-552.
5. Sun Jingxian, Fixed point theorem of non-continuous increasing operator and its application on non-linear equations, Actti Mathematics Sinica, 81, 1 (1988), 101 -107.
6. Guo Dajun, Non-linear Function Analysis, Shandong Science and Technology Press (1985). 234-243.
7. Guo Dajun and V. Lakshmikanthan. Non-linear Problems in 'Asbtract Cones, Notes and Reports in Mathematics Science and Engineering. Vol. 5 (1988), 1-17.