Global Asymptotic Stability for Nonlinear Functional Integral Equation of Mixed Type

Table 1

Some of papers studied earlier as special cases, where 𝑞, 𝜓, 𝜑, 𝑘, ℎ are suitable continuous functions.

𝐹(𝑡,𝑥,𝑦,𝑧)	𝑓(𝑡,𝑥)	𝑔(𝑡,𝑠)	𝛼(𝑡), 𝛽(𝑡), 𝛾(𝑡), 𝛿(𝑡)	𝑢(𝑡,𝑠,𝑥)	𝑣(𝑡,𝑠,𝑥)	Reference
	𝑥	𝑠				[1]
	𝑥	𝑠	𝑡			[7]
	𝑥	𝑠	𝑡		0	[8, 11]
	𝑥	𝑠			0	[12]
		𝑠			0	[13]
𝑥+𝑦		𝑠	𝑡		0	[6]
		𝑠			0	[3]
𝑥+𝜓𝑦		𝑠			0	[14]
𝑞(𝑡)+𝑦	0	𝑠			0	[15]
𝑞(𝑡)+𝑧	0	𝑠	𝑡	0		[16]
	0	𝑠		0		[17]
𝑥𝑦		𝑠	𝑡		0	[8, 18]
𝑞(𝑡)+𝑥𝑦		𝑠			0	[19]
			𝑡		0	[2]
𝑞(𝑡)+𝑥𝑧		𝑠	𝑡	0	𝑘(𝑡,𝑠)ℎ(𝑠,𝑥)	[20, 21]
		𝑠	𝑡	0		[22]
𝑥+𝜑(𝑡,𝑧)		𝑠		0		[23]
𝑥𝑞(𝑡)+𝑦		𝑠			0	[4]
𝑞(𝑡)+𝑥𝜓𝑦		𝑠			0	[24]