iosr-Jm   Volume-22 ~ Issue-4 ~ Jul. – Aug. 2026

Abstract :We present a necessary and sufficient condition for hypercyclicity of a basic elementary operator

Keywords: Hypercyclicity, Hypercyclicity criterion

[1]. Ansari, S. (1997). Existence Of Hypercyclic Operators On Topological Vector Spaces. J. Funct. Anal., 148:384-390.
[2]. Chan, K. (2001). The Density Of Hypercyclic Operators On A Hilbert Space. J. Operator Theory,47:131–143.
[3]. Clifford, O. (2019). Dynamics Of Generalised Derivations And Elementary Operators. Complex Analysis And Operator Theory, 13:257–274.
[4]. Farrukh, M. And Octabek, K. (2017). Hyper-Cyclic And Supercyclic Linear Operators On Non-Archmedian Vector. Bulletin Belgium Math. Soc., 12:10–15.
[5]. Grivaux, S. (2005). Hypercyclic Operators,Mixing Operators And Bounded Step Theorem. J.Math. Anal.Appl., 54:147–168

Abstract : Scheduling is a fundamental problem in manufacturing systems, where effective scheduling decisions directly influence production efficiency and overall profitability. This paper proposes a digraph-based optimization algorithm for maximum-profit scheduling. An illustrative example is provided to demonstrate the effectiveness of the proposed algorithm. The computational results indicate that the proposed method successfully identifies the maximum-profit path by efficiently....

Keywords: Digraph; Maximum-Profit Scheduling; Optimization Algorithm

[1]. Baker, K. R., & Trietsch, D. Principles Of Sequencing And Scheduling. John Wiley & Sons, 2009.
[2]. Pinedo, M. L. Scheduling: Theory, Algorithms, And Systems, 6th Ed. Springer, 2022.
[3]. Bondy, J. A., & Murty, U. S. R. Graph Theory. Springer, 2008..

Abstract : Image denoising is a fundamental task in image analysis and computer vision applications. Traditional frequency-domain filtering methods often use fixed filter parameters, which may not provide optimal performance for images corrupted with different noise levels. This paper presents an Adaptive Multi-Scale FFT-Based Image Denoising and Enhancement framework. The proposed method decomposes the image into multiple scales, performs Fast Fourier Transform (FFT) at each scale, and adaptively adjusts filtering parameters according to noise characteristics...

Keywords: Fast Fourier transformation, Image Denoising, Frequency Domain Filtering, Multi-Scale Analysis, Image Enhancement, PSNR, MSE, SSIM.

[1]. R. C. Gonzalez And R. E. Woods, Digital Image Processing, 4th Edition, Pearson Education, 2018.
[2]. A. V. Oppenheim And R. W. Schafer, Discrete-Time Signal Processing, 3rd Edition, Pearson Education, 2010.
[3]. J. W. Cooley And J. W. Tukey, “An Algorithm For The Machine Calculation Of Complex Fourier Series,” Mathematics Of Computation, Vol. 19, No. 90, Pp. 297–301, 1965.
[4]. B. Zitová And J. Flusser, “Image Registration Methods: A Survey,” Image And Vision Computing, Vol. 21, No. 11, Pp. 977–1000, 2003.
[5]. H. Foroosh, J. B. Zerubia, And M. Berthod, “Extension Of Phase Correlation To Subpixel Registration,” Ieee Transactions On Image Processing, Vol. 11, No. 3, Pp. 188–200, 2002.

Abstract : In this paper, the first-order wave equation and the second-order wave equation is solved by weighted SNA transformationError! Reference source not found., where the SNA transform is defined by...

Keywords:weighted SNA transform; wave equation; transport equation; Fourier transform; testing-function space; generalized function; D’Alembert solution.

[1]. Zemanian, A. H. (1968). Generalized Integral Transformations. Interscience Publishers, New York.
[2]. Bateman, H. (1994). Partial Differential Equations Of Mathematical Physics. Dover Publications, New York.
[3]. Dass, H. K., & Verma, R. (1997). Mathematical Physics. S. Chand Publishing, New Delhi.
[4]. Sneddon, I. N. (1972). The Use Of Integral Transforms. Mcgraw-Hill, New York.
[5]. Kumar, S., Shree, N., & Kumar, A. (2026). Weighted SNA Integral Transform And Its Properties. IOSR Journal Of Mathematics (IOSR-JM), 22(3), 41–53. Https://Doi.Org/10.9790/5728-2203024153.