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Pradeep Kothiyal

Publications (4)

On Reflexivity of Certain Hyponormal Operators with Double Commutant Property

Pradeep Kothiyal · Journal of Advances in Mathematics and Computer Science · 2021

Sarason did pioneer work on the reflexivity and purpose of this paper is to discuss the reflexivity of different class of contractions. Among contractions it is now known that C11 contractions with finite defect indices, C.o contractions with unequal defect indices and C1. contra...

Open access Research Article 10.9734/jamcs/2021/v36i830391

Non-negative Integer Power of a Hyponormal m-isometry is Reflexive

Pradeep Kothiyal, Rajesh Kumar Pal & Deependra Nigam · Asian Research Journal of Mathematics · 2021

Sarason did pioneer work on reflexive operator and reflexivity of normal operators, however, he did not used the word reflexive but his results are equivalent to say that every normal operator is reflexive. The word reflexive was suggested by HALMOS and first appeared in H. Rajda...

Open access Research Article 10.9734/arjom/2021/v17i430288

A General Algorithm of the Boundary Integral Method for Solving Laplace’s Mixed Boundary Value Problem

Rajesh Kumar Pal, Pradeep Kothiyal & Deependra Nigam · Asian Research Journal of Mathematics · 2021

Boundary elements have emerged as a powerful alternative to finite elements particularly in cases where better accuracy is required. The most important features of boundary elements however is that it only requires descretization of the surface rather than the volume. Here, A gen...

Open access Research Article 10.9734/arjom/2021/v17i130266

Mathematical Modeling of Flow and Diffusion in the Lens of the Eye

Deependra Nigam, Rajesh Kumar Pal, Pradeep Kothiyal & Manoj Kumar Jadoun · Journal of Scientific Research and Reports · 2021

The present work is concerned with the development of a simple transient mathematical model for the oxygen diffusion-consumption in the eye lens. The model takes into account the transport of oxygen by diffusion and consumption of oxygen is assumed to follow the Michaelis- Menten...

Open access Research Article 10.9734/jsrr/2021/v27i930433