integral equations
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2022 ◽  
Vol 13 (4) ◽  
pp. 101666
Author(s):  
D.A. Hammad ◽  
Mourad S. Semary ◽  
Ahmed G. Khattab

Mathematics ◽  
2022 ◽  
Vol 10 (2) ◽  
pp. 180
Author(s):  
Oleg Avsyankin

The multidimensional integral equation of second kind with a homogeneous of degree (−n) kernel is considered. The special class of continuous functions with a given asymptotic behavior in the neighborhood of zero is defined. It is proved that, if the free term of the integral equation belongs to this class and the equation itself is solvable, then its solution also belongs to this class. To solve this problem, a special research technique is used. The above-mentioned technique is based on the decomposition of both the solution and the free term in spherical harmonics.


2022 ◽  
Vol 2022 ◽  
pp. 1-10
Author(s):  
Maliha Rashid ◽  
Amna Kalsoom ◽  
Abdul Ghaffar ◽  
Mustafa Inc ◽  
Ndolane Sene

In this manuscript, the aim is to prove a multiple fixed point (FP) result for partially ordered s -distance spaces under θ , ϕ , ψ -type weak contractive condition. The result will generalize some well-known results in literature such as coupled FP (Guo and Lakshmikantham, 1987), triple fixed point (Berinde and Borcut, 2011), and quadruple FP results (Karapinar, 2011). Moreover, to validate the result, an application for the existence of solution of a system of integral equations is also provided.


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