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Nonlinear Equations of the Second Kind with Constant Limits of Integration
- Equations with Quadratic Nonlinearity That Contain Arbitrary Parameters
- Equations of the Form y ( x ) + ∫ a b K ( x , t ) y 2 ( t ) d t = F ( x )
- Equations of the Form y ( x ) + ∫ a b K ( x , t ) y ( x ) y ( t ) d t = F ( x )
- Equations of the Form y ( x ) + ∫ a b K ( t ) y ( t ) y ( ⋯ ) d t = F ( x )
- Equations with Quadratic Nonlinearity That Contain Arbitrary Functions
- Equations of the Form y ( x ) + ∫ a b K ( x , t ) y 2 ( t ) d t = F ( x )
- Equations of the Form y ( x ) + ∫ a b ∑ K n m ( x , t ) y n ( x ) y m ( t ) d t = F ( x ) , n + m ≤ 2 #
- Equations of the Form y ( x ) + ∫ a b K ( t ) y ( t ) y ( ⋯ ) d t = F ( x )
- Equations with Power-Law Nonlinearity
- Equations with Exponential Nonlinearity
- Equations with Hyperbolic Nonlinearity
- Integrands with Nonlinearity of the Form cosh[βy(t)]
- Integrands with Nonlinearity of the Form sinh[βy(t)]
- Integrands with Nonlinearity of the Form tanh[βy(t)]
- Integrands with Nonlinearity of the Form coth[βy(t)]
- Other Integrands
- Equations with Logarithmic Nonlinearity
- Equations with Trigonometric Nonlinearity
- Integrands with Nonlinearity of the Form cos[βy(t)]
- Integrands with Nonlinearity of the Form sin[βy(t)]
- Integrands with Nonlinearity of the Form tan[βy(t)]
- Integrands with Nonlinearity of the Form cot[βy(t)]
- Other Integrands
- Equations with Nonlinearity of General Form
- Equations of the Form y ( x ) + ∫ a b K ( | x − t | ) G ( y ( t ) ) d t = F ( x )
- Equations of the Form y ( x ) + ∫ a b K ( x , t ) G ( t , y ( t ) ) d t = F ( x )
- Equations of the Form y ( x ) + ∫ a b G ( x , t , y ( t ) ) d t = F ( x )
- Equations of the Form y ( x ) + ∫ a b y ( x t ) G ( t , y ( t ) ) d t = F ( x )
- Equations of the Form y ( x ) + ∫ a b y ( x + β t ) G ( t , y ( t ) ) d t = F ( x )
- Other Equations
Abstract
► Notation: f] g] h] φ] Ψ] and ψ are arbitrary functions of an argument specified in the parentheses (the argument can depend on t] x] and y); and A] B] C] a] b] β] γ] λ] and μ are arbitrary parameters.
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