Existence and uniqueness of solutions of boundary value problems for two dimensional systems of nonlinear differential equations
Existence and uniqueness of solutions of boundary value problems for two dimensional systems of nonlinear differential equations
The paper considers the nonlinear system <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="x prime equals f left-parenthesis t comma x comma y right-parenthesis comma y prime equals g left-parenthesis t comma x comma y right-parenthesis"> <mml:semantics> <mml:mrow> <mml:msup> <mml:mi>x</mml:mi> <mml:mo>′</mml:mo> </mml:msup> <mml:mo>=</mml:mo> <mml:mi>f</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi>t</mml:mi> <mml:mo>,</mml:mo> <mml:mi>x</mml:mi> <mml:mo>,</mml:mo> <mml:mi>y</mml:mi> <mml:mo stretchy="false">)</mml:mo> …