Main Article Content
Sobolev, an aspect of Functional Analysis has since the middle of nineteenth century been very useful in many areas of pure mathematics such as Ordinary Differential Equation, Numerical Analysis etc. and now developed into what is known as Sobolev Space. Due to its growing relevance in analytical mathematics, this review paper becomes important in that it displays exciting theoretic definitions and results in the Sobolev Space with impressive details on the Real Index, integration by part, special inequalities and the Embedding Theorem, while towards the end of the work was conclusion in the form of a mathematical remark.
Adams R. “Sobolev Space” New York; Academic Press; 1975.
Milne RD. Applied functional analysis. Boston London Melbourne; Pitman Advanced Publishing Program; 1980.
Croetch CW. Elements of applied functional analysis. New York and Basel, Marcel Dekker; 1980.
Curtain RF, Pritchard AJ. Functional analysis in modern applied mathematics. London, New York, San Francisco; Academic Press; 1977.
Griffel DH. Applied functional analysis. Chichester; Ellis Horwood Limited Publishers; 1981.
Wouk A. A course in applied functional anaylsis. New York Chichester; a Wiley Interscience Publication, John Wiley and Sons; 1979.
Dieudonne J. Foundation of modern analysis. New York; Academic Press; 1960.
Zeidler E. Non-linear functional analysis and its applications. IIA; New York-Berlin-Heidlberg; Springer Verlag; 1990.
Most read articles by the same author(s)
- Eziokwu, C. Emmanuel, On the Uniform Bounded ness Principle with Applications to Space of Polynomials and Fourier Series , Asian Journal of Pure and Applied Mathematics: 2019 - Volume 1 [Issue 1]
- Eziokwu, C. Emmanuel, On Analytical Review of the Gamma Functions , Asian Research Journal of Current Science: 2020- Volume 2 [Issue 1]